Research by Harvard Medical School experts suggests that boys are more likely than girls to grow out of childhood asthma when they hit their teenage years (BBC News, August 15, 2008). Scientists followed over 1,000 children between the ages of 5 and 12, all of whom had mild to moderate asthma. By the age of 18, 14% of the girls and 27% of the boys seemed to have grown out of asthma. Suppose their analysis was based on 500 girls and 500 boys.

a. Develop the hypotheses to test whether the proportion of boys who grow out of asthma in their teenage years is more than that of girls.

b. Use the p-value approach to test the assertion in (a) at the 5% significance level.

c. Does the above experiment suggest that the proportion of boys who grow out of asthma in their teenage years is 0.10 or more than that of girls? Use the critical value approach to test this assertion at the 5% significance level.