Question Set 1: Proportion of Hospital Employees Who Own Their Homes In this question set you will be working with the following scenario. A large hospital is interested in learning more about its employees’ current housing situations. In a random sample of 60 employees, 40 owned their home. Use these sample data to answer the following questions. A. Use the five-step hypothesis testing procedure outlined below to determine if there is evidence that the proportion of all employees who own their home is different from 0.5. Use Minitab Express. If assumptions are met, use the normal approximation method. Other than checking assumptions, you should not need to do any calculations by hand. Remember to include all relevant Minitab Express output and to clearly identify your answers to each step. [25 points] Step 1: Check assumptions and write hypotheses Step 2: Calculate the test statistic Step 3: Determine the p value Step 4: Decide to reject or fail to reject the null Step 5: State a “real world” conclusion B. Construct a 95% confidence interval to estimate the proportion of all employees at this hospital who own their homes. Show how you checked assumptions. If assumptions were met, use the normal approximation method. Remember to include all relevant Minitab Express output and to clearly identify your answer. Other than checking assumptions, you should not need to do any calculations by hand. [15 points] C. What sample size would be needed to construct a 95% confidence interval to estimate the proportion of all employees who own their home with a margin of error of ±3%? Use the observed sample proportion from the scenario as an estimate for the population proportion. You will need to do calculations by hand. Show all of your work using the equation editor. [10 points] Question Set 2: Mean Monthly Rent A researcher is studying the cost-of-living in Philadelphia, Pennsylvania. As part of their research, they would like to learn more about the average monthly rental rate of two-bedroom apartments in the city. In a random sample of 35 two-bedroom apartments, the mean monthly rental rate was $2160 with a standard deviation of $802. Use these sample data to answer the following questions. A. Use the five-step hypothesis testing procedure outlined below to determine if there is evidence that the mean monthly rental rate of all two-bedroom apartments in this area is different from $2000. Use Minitab Express to conduct a single sample mean t test. You should not need to do any calculations by hand. Remember to include all relevant Minitab Express output and to clearly identify your answers to each step. [25 points] Step 1: Check assumptions and write hypotheses Step 2: Calculate the test statistic Step 3: Determine the p value Step 4: Decide to reject or fail to reject the null Step 5: State a “real world” conclusion B. Construct a 95% confidence interval to estimate the mean monthly rental rate of all two-bedroom apartments in this area. Remember to include all relevant Minitab Express output and to clearly identify your answer. You should not need to do any calculations by hand. [15 points] C. What sample size would be needed to construct a 95% confidence interval to estimate the mean monthly rental rate of all two-bedroom apartments in this area with a margin of error of ±$20? You will need to do calculations by hand. Show all of your work using the equation editor. [10 points]