A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let p,and p represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. 20. Referring to that information, if the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses for two tailed? 1) Ho: P₁ - P₂ - 0 versus H₁: P₁ P₂ 0 2) HP₁-P₂0 versus H₁: P₁-P₂-0 3) Ho: P₁ - P₂ S 0 versus H₁: P₁-P₂ >0 4) H: P₁ - P₂ 2 0 versus H₁: P₁ - P₂ <0 5) H₁:0=o and H₁:a o 21. Referring to that information, if the firm wanted to test whether a greater proportion of workers would currently like to attend a self-improvement course than in the past, which represents the relevant hypotheses? 1) Ho: P₁-P₂=0 versus H₁: P₁ P₂ 0 2) Ho P₁ P₂ 0 versus H₁: P₁-P₂ = 0 3) H.: P₁-P₂ ≤ 0 versus H: P₁-P₂> 0 4) H: P₁ P₂ 20 versus H₁: P₁-P₂ <0 5) H₁:0=o and H₁:a o 22. Referring to that information, what is the unbiased point estimate for the difference between the two population proportions? 1) 0.06 2)0.10 3) 0.15 4)0.12 5) 0.22 23. Referring to that information, what is/are the critical value(s) when performing a Z test on whether population proportions are different if a -0.05? 1) ±1.645 2) 1.96 3) 12.33 4) 12.08 5) -1.96 24. Referring to that information, what is the value of the test statistic to use in evaluating the alternative hypothesis that there is a difference in the two population proportions? 1) 4.335 2) 1.96 3) 1.093 4) 0.06 5) 0.0 25. Referring to that information, the company tests to determine at the 0.05 level whether the population proportion has changed from the previous study. Which of the following is most correct? a) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self- improvement course has changed over the intervening 10 years. b) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years. c) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self- improvement course has increased over the intervening 10 years. d) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.