Fundamentals of Statistics (5th Edition)

5th Edition

ISBN: 9780134508306

Author: Michael Sullivan III

Publisher: PEARSON

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Chapter 12.2, Problem 3AYU

The following table contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories:

Chapter 12.2, Problem 3AYU, The following table contains observed values and expected values in parentheses for two categorical

a. Compute the value of the chi-square test statistic.
b. Test the hypothesis that X and Y are independent at the α = 0.05 level of significance.

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Chapter 12.2, Problem 2AYU

Chapter 12.2, Problem 4AYU

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Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level.The null and alternative hypothesis would be: H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:pN=pDH0:pN=pDH1:pN<pDH1:pN<pD H0:pN=pDH0:pN=pDH1:pN>pDH1:pN>pD H0:μN=μDH0:μN=μDH1:μN>μDH1:μN>μD H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:μN=μDH0:μN=μDH1:μN<μDH1:μN<μD The test is: two-tailed right-tailed left-tailed The sample consisted of 70 night students, with a sample mean GPA of 3.4 and a standard deviation of 0.03, and 55 day students, with a sample mean GPA of 3.43 and a standard deviation of 0.07.The test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=2.3H0:μ=2.3H1:μ>2.3H1:μ>2.3 H0:μ=2.3H0:μ=2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p<0.575H1:p<0.575 H0:p=0.575H0:p=0.575H1:p>0.575H1:p>0.575 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 The test is: left-tailed two-tailed right-tailed Based on a sample of 50 people, the sample mean GPA was 2.34 with a standard deviation of 0.07The test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Based on the following two tables, what conclusions can you draw? Contrast between the expected values and the observed values. H1: The gender and afraid to walk at night in your neighborhood are not independent variables. H0: The gender and afraid to walk at night in your neighborhood are independent variables.

Chapter 12 Solutions

Fundamentals of Statistics (5th Edition)

Ch. 12.1 - True or False: The shape of the chi-square...Ch. 12.1 - A _____ test is an inferential procedure used to...Ch. 12.1 - Suppose there are n independent trials of an...Ch. 12.1 - What are the two requirements that must be...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - Prob. 7AYU Ch. 12.1 - Prob. 8AYU Ch. 12.1 - In Problems 710, determine (a) the 2 test...Ch. 12.1 - In Problems 710, determine (a) the 2 test...

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Solution Summary: The author explains that there is not enough evidence to infer that X and Y are independent at the alpha =0.05 level of significance.

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Chapter 12 Solutions