QUESTION 10 We have a random sample of size 19. We have information on a variable that has a sample standard deviation 21. Assume that the assumptions of the CLT are satisfied. Then the standard error of the sampling mean is QUESTION 11 Suppose that, in a random sample of 800 US adults, 63% of them say the government has the responsibility to provide health care coverage for all.[as a side, this value is in line with the results of a recent Pew Research poll.] Suppose that we want to test the (two-sided) hypothesis that a majority of Americans say the government has the responsibility to provide health care coverage for all. Match the correct answer with the relevant option. The null hypothesis Ho is A. p = 0.63 The alternative hypothesis Ha is: B. p = 0.5 C. p + 0.5 QUESTION 12 (Note: some numbers here may differ from the ones in other questions) Suppose that, in a random sample of 100 US adults, a proportion p-hat = 0.71 say that the government has the responsibility to provide health care coverage for all. Suppose that we want to test the (two-sided) hypothesis that the population proportion is equal to 0.5. What is approximately the z-score we need to compute to test this hypothesis? (Use two decimals in your answer. Before you answer the question, you may want to review the relevant definition of z-score in chapter 5.3 and compute the appropriate SE). QUESTION 13 We have a random sample of size 26. We have information on a variable that has a sample standard deviation 34. Assume that the assumptions of the CLT are satisfied. Then the margin of error for a 95% confidence interval for the population mean is: QUESTION 14 We have a random sample of size 37. We have information on a variable that has a sample mean 144 and sample standard deviation 8. Assume that the assumptions of the CLT are satisfied. Then the upper limit of the 95% confidence interval for the population mean is