A 2023 survey by a health organization aimed to understand the attitudes of adults in two major cities, City A and City B, toward annual health checkups. The survey randomly sampled 3,200 adults from City A and 2,800 adults from City B. In City A, 1,152 adults (36%) reported that they regularly attend annual health checkups. In City B, 1,120 adults (40%) reported the same. The survey aims to determine if there is a significant difference in the attitudes toward annual health checkups between adults in City A and City B. Do the attitudes of adults in City A and City B differ with regards to annual health checkups? a) Write the appropriate null and alternative hypotheses to test whether there is a difference in the proportion of adults in City A and City B who attend annual health checkups. b) Does this study have a sufficiently large enough sample size to use a normal approximation? Explain how you know. c) Regardless of your answer to part (b), compute the standardized test statistic. Show your work or explain how you obtain your answer. d) Find the p-value for the standardized test statistic. e) What is the decision of the test using a significance level of = 0.05? f). Using =0.05, what conclusion can be drawn regarding the claim