Answer the following questions showing all work.  Full credit will not be given to answers without work shown. If you use Minitab Express include the appropriate output (copy + paste) along with an explanation.  Output without explanation will not receive full credit. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board.

1. The contingency table below was constructed using data from a sample of Penn State employees. Use this table to answer the following questions. [40 points]

A.  Compute the row and column totals:

B. Compute the expected value for the female – faculty cell by hand (i.e., do NOT use Minitab Express).

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

D. Are biological sex and position independent?  Use the five-step hypothesis testing procedure.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

2. Use the file Fall16StData.MTW to answer the following questions. These data were collected from a representative sample of World Campus STAT 200 students at the beginning of the Fall 2016 semester.  [60 points]

A.  Construct a contingency table of biological sex and drink preference.

B. What proportion of females in this sample prefers beer?

C. What proportion of males in this sample prefers beer?

D. Given the proportions that you computed in parts B and C, are biological sex and preference for beer independent in this sample?

E. Compute the “relative risk” of preferring beer for males compared to females.

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

G. Compute the odds ratio of preferring beer for males compare to females.

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

I. Conduct a chi-square test of independence to determine if there is evidence of a relationship between biological sex and drink preference in the population of all World Campus STAT 200 students.  Use the five-step hypothesis testing procedure.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

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