A market research survey asked the question "Do you enjoy shopping for clothing for yourself?" to 542 male adults and 238 of them said they did. When 543 female adults were asked the same question, 276 of them indicated that they enjoyed shopping for clothing for themselves.
a. Is there a significant difference between the proportion of males and females who enjoy shopping for clothing for themselves at the 0.05 level of significance? Perform a hypothesis test to make an informed decision.
b. Find a 95% and confidence interval for the difference between the proportions of males and females who enjoy shopping for clothing for themselves. Show your work or calculator commands. Does this interval support your decision in part a?