MATH 110 EXAM 8 PORTAGE LEARNING STATISTICS

Question 1 10 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) standard normal table (Links to an external site.) t-table (Links to an external site.) Suppose we have independent random samples of size n1 = 520 and n2 = 450. The proportions of success in the two samples are p1= .65 and p2 = .52. Find the 95% confidence interval for the difference in the two population proportions. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? A. B. MATH 110 EXAM 8 PORTAGE LEARNING STATISTICS C. D. 2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: I would choose B P1 = .65 P 2= .52 n1 =520 n2 = 450 .65-.52 +/- 1.96 .65 ( 1 − .65 ) + .52 ( 1 − .52 ) 520 450 .13 +/- 1.96 (0.0315) Intervals are .06826, .19174) From table 6.1, we see that 95% confidence corresponds to z=1.96. Notice that the sample sizes are each greater than 30, so we may use eqn. 8.2: B. So, the interval is (.06828,.19172). Question 2 10 / 10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet (Links to an external site.) standard normal table (Links to an external site.) t-table (Links to an external site.) In certain hospital, nurses are required to constantly make rounds to check in on all of the patients. The nursing supervisor would like to know if there is a difference between the number of rounds completed per shift by the nurses on the day shift compared to the nurses on the night shift. So, the nursing supervisor checks