According to a Gallup poll, 11.55% of American adults havediabetes. A researcher wonders if the rate in her area is higherthan the national rate. She surveys 150 adults in her area andfinds that 21 of them have diabetes.
1) If the region had the same rate of diabetes as the rest ofthe country, how many would we expect to have diabetes?
2) Suppose you are testing the hypothesis that the diabetes ratein this area differs from the national rate. State the null andalternative hypotheses for such a test.
3) State the value of the test statistic and the p-value.
4) Use a 0.05 significance level to make a decision about thenull hypothesis and state your conclusion in context.
