A poll asked 946 adults "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade? The results indicated that 8% of the males and 17% of the females answered window tinting. The poll description did not state the sample sizes of males and females. Suppose that both sample sizes were 473 and that 40 of 473 males and 80 of 473 females reported window tinting as their preferred luxury upgrade of choice. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.01 level of significance? Let group 1 be the males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≥π2 H1: π1<π2 B. H0: π1≤π2 H1: π1>π2 C. H0: π1<π2 H1: π1≥π2 D. H0: π1=π2 H1: π1≠π2 E. H0: π1≠π2 H1: π1=π2 F. H0: π1>π2 H1: π1≤π2 Calculate the test statistic. χ2STAT= _ (Round to three decimal places as needed.) Determine the critical value. The critical value is _ (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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Question

A poll asked 946 adults "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade? The results indicated that 8% of the males and 17% of the females answered window tinting. The poll description did not state the sample sizes of males and females. Suppose that both sample sizes were 473 and that 40 of 473 males and 80 of 473 females reported window tinting as their preferred luxury upgrade of choice.

a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.01 level of significance?

Let group 1 be the males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below.

H0:

π1≥π2

H1:

π1<π2

H0:

π1≤π2

H1:

π1>π2

H0:

π1<π2

H1: