The National Health and Nutrition Examination Survey (NHANES) weighed a sample of 546 boys aged 6–11 and found that 87 of them were overweight. They weighed a sample of 508 girls aged 6–11 and found that 74 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight?

a. State the appropriate null and alternate hypotheses.

b. Compute the value of the test statistic.

c. State a conclusion at the α = 0.05 level of significance.