Question: A recent Health of Boston report suggests that 14% of female residents suffer from asthma as opposed to 6% of males (The Boston Globe, August 16, 2010). Suppose 250 females and 200 males responded to the study.
a. Develop the appropriate null and alternative hypotheses to test whether the proportion of females suffering from asthma is greater than the proportion of males.
b. Calculate the value of the test statistic and its associated p-value.
c. At the 5% significance level, what is the conclusion? Do the data suggest that females suffer more from asthma than males?