For the cross-tabulation data shown below, which represents a count of the type of books that individuals prefer, verify that the assumptions of the chi-square test are not met, and aggregate the data in an appropriate way so that the assumptions are met Then conduct a chi-square test for independence at the 0.05 level of significance. Gender Male Fiction 8 Nonfiction Romance Autobiography Female 5 3 5 1 5 8 0 Male Female 5 (Type whole numbers.) 12 10 Next, write the hypotheses for the chi-square test for independence. Ho- Gender and Book Preference are independent H₁: Gender and Book Preference are dependent Find the expected frequencies. Gender Fiction Nonfiction/Romance/ Autobiography Male 7.43 12.57 Female 5.57 Grand Total 13 9.43 22 Grand Total 20 15 35 (Type integers or decimals rounded to two decimal places as needed.) Compute the chi-square statistic. 0.16 (Type an integer or decimal rounded to two decimal places as needed) Find the p-value and draw a conclusion. p-value= (Type an integer or decimal rounded to three decimal places as needed.)

For the cross-tabulation data shown below, which represents a count of the type of books that individuals prefer, verify that the assumptions of the chi-square test are not met, and aggregate the data in an appropriate way so that the assumptions are met Then conduct a chi-square test for independence at the 0.05 level of significance. Gender Male Fiction 8 Nonfiction Romance Autobiography Female 5 3 5 1 5 8 0 Male Female 5 (Type whole numbers.) 12 10 Next, write the hypotheses for the chi-square test for independence. Ho- Gender and Book Preference are independent H₁: Gender and Book Preference are dependent Find the expected frequencies. Gender Fiction Nonfiction/Romance/ Autobiography Male 7.43 12.57 Female 5.57 Grand Total 13 9.43 22 Grand Total 20 15 35 (Type integers or decimals rounded to two decimal places as needed.) Compute the chi-square statistic. 0.16 (Type an integer or decimal rounded to two decimal places as needed) Find the p-value and draw a conclusion. p-value= (Type an integer or decimal rounded to three decimal places as needed.)

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter5: Probability: An Introduction To Modeling Uncertainty

Section: Chapter Questions

Problem 7P: The Human Resources Manager for Optilytics LLC is evaluating applications for the position of Senior...

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The Human Resources Manager for Optilytics LLC is evaluating applications for the position of Senior Data Scientist. The file OptilyticsLLC presents summary data of the applicants for the position. a. Use a PivotTable in Excel to create a joint probability table showing the probabilities associated with a randomly selected applicants sex and highest degree achieved. Use this joint probability table to answer the questions below. b. What are the marginal probabilities? What do they tell you about the probabilities associated with the sex of applicants and highest degree completed by applicants? c. If the applicant is female, what is the probability that the highest degree completed by the applicant is a PhD? d. If the highest degree completed by the applicant is a bachelors degree, what is the probability that the applicant is male? e. What is the probability that a randomly selected applicant will be a male whose highest completed degree is a PhD?
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