2. According to http://espn.go.com/college-football/team/fpi/_/id/213/penn-state-nittany-lions (as of November 3, 2015) the probability that Penn State will win the football game against Michigan is 39.4%. The probability that Penn State will win the football game against Michigan State is 23.0%. (16 points)

A. What are the odds that Penn State will beat Michigan?

B. What are the odds that Penn State will beat Michigan State?

C. What is the odds ratio for Penn State beating Michigan compared to beating Michigan State?

D. How would you explain the odds ratio that you calculated in part C to a friend with no knowledge of statistics?

3. Use the file SP16STUDENTDATA.MTW to answer the following questions. (30 points)

A. Construct a contingency table of biological sex and preferred winter sport.

B.  What proportion of females prefer figure skating.

C. What proportion of males prefer figure skating?

D.  What is the “relative risk” of preferring figure skating for females compared to males?

E. How would you interpret the value that you computed in part D for a friend with no knowledge of statistics?

F. Conduct a chi-square test of independence to determine if there is evidence of a relationship between biological sex and preferred winter sport in the population. Assume that this sample is representative of the population of all World Campus students. Use the five-step hypothesis testing procedure labeling each of your steps.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

4. Use the file SP16STUDENTDATA.MTW to answer the following questions. Assume that this sample is representative of the population of all World Campus students. A team of researchers wants to know if there is a relationship between biological sex and dieting in the population of World Campus students.  (30 points)

A.  Conduct a chi-square test of independence to determine if there is a statistically significant relationship between biological sex and dieting in the population. Use the five-step hypothesis testing procedure labeling each of your steps.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

B. What proportion of females in this sample were dieting?

C. What proportion of males in this sample were dieting?

D. Compute a relative risk ratio comparing females to males in terms of dieting.

E. Pretend that you are writing a report for the team that is conducting this research. Using your results from parts A through D, write a paragraph that explains your findings. Discuss both your inferential findings from part A and your descriptive findings from parts B, C, and D. It is expected that you will need 60-100 words to do this well.