An Ipsos poll asked 1,004 adults, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 9% of males and 14% of 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. Construct a 95% confidence interval estimate of the population proportion of males who said that window tinting would be their favorite upgrade.
b. Construct a 95% confidence interval estimate of the population proportion of females who said that window tinting would be their favorite upgrade.
c. What conclusions do you reach about differences between males and females and their favorite upgrade?