Chapter 12, Problem 5PS

An lpsos poll asked 1,004 adults “If purchasing a used car made certain upgrade of features more affordable, what would be your preferred luxury upgrade?� The results indicated that 9% of the males $14\%$ 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 502 and that 46 of 502 males and 71 of 502 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?

b. Find the p-Value in (a) and interpret its meaning.

c. What are your answers to (a) and (b) if males said they prefer window tinting as a luxury upgrade and 442 did not?

d. Compare the results of (a) through (c) to those of Problem 10.29 (a), (b), and (d) on page 374.