Chapter 8, Problem 31SE

Working Out (Example 10) According to a 2018 survey by Timex reported in Shape magazine, $73\%$ of Americans report working out one or more times each week. A nutritionist is interested in whether this percentage has increased. A random sample of 200 Americans found 160 reported working out one or more times each week. The first two steps were asked for in Exercise 8.29. Use the output provided to carry out the third and fourth steps of a hypothesis test that will test whether the proportion of Americans who work out one or more times per week has increased. Use a significance level of $\mathrm{0.05.}$