A study by the National Marine Manufacturers Association found that 12.2% of those who participated in sailing were females age 25–34. Of those who participated in horseback riding during the same period, 14.7% were females in this age group. Assume that file XR11065 contains the underlying data for each activity group, coded as 1 = not a female in this age group and 2 = a female in this age group. Using the 0.10 level of significance, test whether the population proportion could be equal for females age 25–34 participating in each of these activities. Identify and interpret the p-value for the test, then construct and interpret the 90% confidence interval for the difference between the population proportions.
A computer and statistical software.