Chapter 8, Problem 84CRE

Weight Loss in Men Many polls have asked people 'whether they are trying to lose weight. A Gallup Poll in November of 2008 showed that $22\%$ of men said they were seriously trying to lose weight. In 2006, $24\%$ of men (with the same average weight of 194 pounds as the men polled in 2008) said they were seriously trying to lose weight. Assume that both samples contained 500 men.

a. Determine how many men in the sample from 2008 and how many in the sample from 2006 said they were seriously trying to lose weight.

b. Determine whether the difference in proportions is significant at the 0.05 level.

c. Repeat the problem with the same proportions but assuming both sample sizes are now 5000.

d. Comment on the different p-values and conclusions with different sample sizes.