2. You are going to construct a 99% confidence interval for the proportion of hip replacement recipients who require follow up physical or occupational therapy. You want the margin of error to be .045. Your initial guess is that 72% of the population requires follow up physical or occupational therapy. What should the sample size be to achieve this margin of error?

3. A researcher claims that the percentage of people who will choose to receive a COVID-19 vaccine is greater than 70%. They selects a sample of size 1250 people and 900 will choose to receive the vaccine.

a. State the hypotheses to be tested.

b. Compute the value of the test statistic (z-value). Show work.

c. Compute the P-value based on your test statistic.

d. At a 5 % significance level, what conclusion should the researchers make?