For Questions 11-14, let p be the proportion of employees at not-for-profit companies who would report high job satisfaction if asked that question. 11. (Topic II.4) If p = 0.6 (that is, 60% of employees at not-for-profit companies nationwide would report high job satisfaction), what is the probability that a random sample of 100 employees at not-for-profit companies would show a sample proportion of p = 0.55 or smaller reporting high job satisfaction? Show your work. 12. (Topic II.5) If, as in Question 7, a random sample of n = 100 employees at not-for-profit companies shows that x = 55 report high job satisfaction, find a 90% confidence interval for p based on this sample. Show your work. 13. (Topic II.6) Suppose that a hypothesis test is run with null hypothesis H0 : p = 0.5 against the alternative HA : p > 0.5. Does our sample (with p = 0.55) provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis (using significance level = .05)? Explain why or why not in terms of the appropriate test statistic. 14. (Topic II.7) What is the P -value for the test referred to in Question 13? Explain your answer.