Elementary Statistics: Picturing the World (7th Edition)

Chapter 7

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Null hypothesis and alternative hypothesis.The ... more

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Type I error: The null hypothesis is rejected when... more

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Reject the null hypothesis or fail to reject the ... more

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No.Failure to reject the null hypothesis indicates... more

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The hypothesis test is used to establish whether a... more

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The hypothesis test is used to establish whether a... more

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(b) ; A null hypothesis is the statement that says... more

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Two-tailed ; A null hypothesis is a statement that... more

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and .The claim is represented by the null ... more

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Type I error occurs when the null hypothesis is ... more

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Type I error occurs when the null hypothesis is ... more

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Type I error occurs when the null hypothesis is ... more

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Type I error occurs when the null hypothesis is ... more

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Null hypothesis states that the proportion of ... more

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Two-tailed testThe alternative hypothesis contains... more

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Consider denotes the population mean.The null ... more

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The smaller the area, the more likely to reject ... more

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Critical Value: Rejection Region: ; The level of ... more

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and 1.75. and . ; Consider the level of ... more

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Consider be the mean.The null hypothesis is ... more

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No. The probability of the test statistic is ... more

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Fails to reject . ; The probability to determine ... more

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Fail to reject . ; The probability to determine ... more

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Reject the null hypothesis if .The level of ... more

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; Observe for to obtain the critical value ... more

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; Observe for to obtain the critical value ... more

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and ; The value of is 0.12.The left-area is .... more

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Reject the null hypothesis.There is enough ... more

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Fail to reject null hypothesis.The data does not ... more

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Reject the null hypothesis.The data provides ... more

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Right.If the -value is less than the -value, the ... more

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; For a left-tailed test, the critical value is ... more

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1.397 ; For right-tailed tests, the critical value... more

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; For a two-tailed, there are two critical values... more

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For one-tailed, observe the -distribution table ... more

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First Identify the claim and state the null and ... more

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. ; For a left-tailed test, the critical value is ... more

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. ; For a left-tailed test, the critical value is ... more

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. ; For right-tailed tests, the critical value is ... more

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. ; For right-tailed tests, the critical value is ... more

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Reject .The data provides sufficient evidence to ... more

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Fail to reject .The data does not provide ... more

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Reject .The data provides sufficient evidence to ... more

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The -sampling distribution.As the population ... more

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The standard normal sampling distribution.As the ... more

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More likely.Yes, as the tail of the curve does ... more

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NoThe null hypothesis is also rejected in the ... more

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There is sufficient evidence to reject the claim ... more

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The assertion is that "more than of A-people in ... more

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The assertion is that " of older people of Country... more

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The assertion is that "at minimum of SP holders ... more

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Substantiate that the sampling distribution of ... more

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YesDo not reject the null hypothesisThere is not ... more

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Yes.Do not reject the null hypothesis.There is not... more

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The assertion is that "at minimum of older people... more

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Multiply the numerator and denominator by in ... more

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Consider the samples are drawn from normal ... more

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Consider the samples of size are randomly drawn ... more

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No.The range of the chi-square distribution ... more

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The chi-square test requires that the population ... more

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Verify that the sample is drawn randomly from the ... more

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The area to the left of i.e. is the rejection ... more

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(claim)Do not reject The data does not provide ... more

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(claim)Reject The data provides sufficient ... more

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(claim)Do not reject The data does not provide ... more

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  (claim)Fails to reject The data does not provide... more

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(claim)Reject The data provides sufficient ... more

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These two types of inference may lead to wrong ... more

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Reject when it is true i.e. the proportion of ... more

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Fail to reject when it is not true i.e. the ... more

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(claim) ; The null hypothesis is the hypothesis ... more

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; The null hypothesis is the hypothesis which is ... more

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; The null hypothesis is the hypothesis that is ... more

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; The null hypothesis is the hypothesis that is ... more

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Do not reject ; The -value is the probability to ... more

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; The critical value for the -test is the value ... more

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, ; Given the sample size as 15 and as .The ... more

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is rejected. The data provides enough evidence at... more

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Yes.Reject the null hypothesis. There is enough ... more

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The proposed population proportion is . The null ... more

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Yes.As therefore the test rejects the null ... more

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The claim that the rate of scholars is more than ... more

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(claim)Do not reject the null hypothesis.At ... more

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Yes as the value is less than .As the confidence ... more

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There are two types of errors, type-I error and ... more

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; The hypothesis test is used to establish ... more

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Type I error occurs when the population proportion... more

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False.In a hypothesis test, the null hypothesis is... more

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FalseIt is a statement about the population. ; The... more

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FalseThe rejection of the null hypothesis in a ... more

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False.To establish a claim, assert it so that it ... more

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and ; A null hypothesis is a statement which says... more

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and ; A null hypothesis is a statement which says... more

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and ; A null hypothesis is the statement which ... more

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and ; A null hypothesis is the statement which ... more

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and ; A null hypothesis is the statement which ... more

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and ; A null hypothesis is the statement which ... more

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(c) ; A null hypothesis is the statement which ... more

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(d) ; A null hypothesis is a statement that says ... more

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(a) ; A null hypothesis is a statement that says ... more

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Right-tailed ; A null hypothesis is a statement ... more

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Left-tailed ; A null hypothesis is a statement ... more

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Two-tailed ; A null hypothesis is a statement that... more

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and The claim is represented by the alternative ... more

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and .The claim is represented by the alternative ... more

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and The claim is represented by the null ... more

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and The claim is represented by the null ... more

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and .The claim is represented by the null ... more

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Type I error occurs when the null hypothesis is ... more

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Type I error occurs when the null hypothesis is ... more

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Null hypothesis states that the average time that ... more

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Left-tailed.The alternative hypothesis contains ... more

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Right-tailed because the alternative hypothesis ... more

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Two-tailed test.The alternative hypothesis ... more

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; A null hypothesis is a statement that says that... more

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; A null hypothesis is the statement that says ... more

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If the probability of type I error decreases then ... more

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If , the null hypothesis cannot be rejected and so... more

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Yes.If the null hypothesis is rejected at , it ... more

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Not necessarily.The null hypothesis is rejected at... more

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Fail to reject the null hypothesis, as the -value ... more

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Reject the null hypothesis. ; The level of ... more

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Do not reject the null hypothesis. ; The level of ... more

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Consider, is the population mean.The null ... more

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  (claim)As reject .Thus there is evidence at ... more

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Consider be the mean.The null hypothesis is ... more

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In a -value approach, the -value is compared with ... more

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Reject . ; The probability to determine the ... more

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Reject . ; The probability to determine the ... more

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Fail to reject . ; The probability to determine ... more

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Reject . ; The probability to determine the ... more

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Larger -value corresponds to the larger area of ... more

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Larger -value corresponds to the larger area of ... more

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Reject the null hypothesis if .The level of ... more

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; Observe for to obtain the critical value ... more

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; Observe for to obtain the critical value ... more

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; The value of is 0.02.The left-area is .Observe... more

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Fail to reject the null hypothesis.The data ... more

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Outside.If the test statistic is inside the ... more

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The null hypothesis and the alternative hypothesis... more

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The null hypothesis and the alternative hypothesis... more

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. ; For a two-tailed, there are two critical ... more

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. ; For a two-tailed, there are two critical ... more

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Do not reject .The data does not provide ... more

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Reject .The data provides sufficient evidence to ... more

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Do not reject .The data does not provide ... more

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There is not enough evidence to reject the claim ... more

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; The degrees of Freedom can be defined as the ... more

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The quantifications by the utilized equipment ... more

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The normal distribution can be utilized if and... more

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The normal distribution can be utilized if and , ... more

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Yes.Reject the null hypothesis.There is enough ... more

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At minimum of older people make an attempt to ... more

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The claim is that "not more than of older people ... more

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Reject the null hypothesis at and level of ... more

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33.409 ; The critical value of the chi-square ... more

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17.708 ; The critical value of the chi-square ... more

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; The left and right critical values of the chi-... more

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Consider the samples are drawn from normal ... more

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Consider the samples are drawn from normal ... more

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Since the chi-square distribution is not a ... more

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The area to the right of i.e. is the rejection ... more

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The area to the right of i.e. is the rejection ... more

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The area to the left of i.e. is the rejection ... more

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and  The area to the left and right of the ... more

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and  The area to the left and to the right of the... more

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The area to the right of i.e. is the rejection ... more

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and  The area to the left and to the right of the... more

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(claim)Do not reject The data does not provide ... more

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  (claim)Reject The data provides sufficient ... more

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  (claim)Reject The data provides sufficient ... more

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Do not reject .The data does not provide ... more

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Do not reject .The data does not provide ... more

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Reject .The data provides sufficient evidence at ... more

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Reject The data provides sufficient evidence at ... more

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; The null hypothesis is the hypothesis which is ... more

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  ; The null hypothesis is the hypothesis which is... more

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Reject ; The -value is the probability to obtain ... more

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; The critical value for the -test is the value ... more

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, ; The critical value for the -test is the value ... more

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; The critical value for the -test is the value ... more

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,. ; The critical value for the -test is the value... more

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Do not reject .As the value of i.e 1.631 lies in ... more

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Reject .As the value of i.e 1.723 lies to the ... more

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Do not reject .As the value of i.e  lies in ... more

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Reject .As the value of i.e  lies to the left of... more

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.Fail to reject .The data does not provide enough ... more

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.Reject .The data provides enough evidence at ... more

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..Fail to reject .The data does not provide enough... more

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.Do not reject .The data does not provide enough ... more

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; Given the sample size as 33 and as 0.01.The ... more

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, ; Given the sample size as 63 and as 0.02.The ... more

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, ; Given the sample size as 48 and as 0.05.The ... more

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. ; Given the sample size as 12 and as 0.02.The ... more

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Fail to reject the null hypothesis. There is not ... more

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Reject the null hypothesis. There is enough ... more

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Fail to reject the null hypothesis. There is not ... more

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Fail to reject the null hypothesis. There is not ... more

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Reject the null hypothesis.There is enough ... more

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Yes.As , therefore the test fails to reject the ... more

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Yes.As , therefore the test rejects the null ... more

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Reject if ; Degrees of freedom are defined as .... more

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Reject if ; Since the test is two-tailed ... more

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Reject the null hypothesis if ; Since the test is ... more

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Reject if  ; Degrees of freedom are defined as .... more

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Reject the null hypothesis.There is enough ... more

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Fail to reject the null hypothesis.There is not ... more

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Fail to reject the null hypothesis.There is not ... more

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..Fail to reject the null hypothesis.There is ... more

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Yes, as the null hypothesis is rejected. ; Degrees... more

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Alternative hypothesis.As the hypothesis test ... more

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The null hypothesis is there is no difference in ... more

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There is a random sampling error in the sampling ... more

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