The Centers of Disease Control and Prevention (CDC) states that "regular physical activity is one of the most important things you can do for your health." However, a doctor claims that even with this information, more than 32% of U.S. adults do no physical exercise at all. To test this claim, she collected a random sample of 732 U.S. adults and asked "Do you work out during a given week?" Such "work outs" include going to the gym, biking, jogging, or any moderate to intense physical activity for a minimum of 20 minutes. The responses ("No" and "Yes") are found in the data set Activity.txt. Is there sufficient evidence to support the doctor's claim that more than 32% of U.S. adults do no physical exercise? Use a significance level of 0.05. From the Activity.txt, yes =475,no=257. a) State the null and alternative hypotheses that should be tested using correct notation. b) Is the sample size large enough to use a one-proportion z-test? Why or why not? c) Calculate the test statistic by-hand. Show the necessary work to obtain this value. Do not round while doing your calculation, but round your final test statistic to two decimal places. d) Obtain a