Conditional Probability and Fisher’s Exact Test
The following table is based on a random sample of 100
employee in a large fortune 500 company
# of days a week one exercises
2 or fewer days 18 (Male) 12 (Female)
3 or more days 32(Male) 38 (Female)
a) If an employee is randomly chosen from the 100 employees
represented in the table above, what is the probability that the chosen
employee exercises 3 or more days a week (label A)?
b) If an employee is randomly chosen from the 100 employees
represented in the table, what is the probability that the chosen employee
exercises 3 or more days a week, given that the chosen employee is male ( label
B)?
c) Are events A and B independent?
d) Use a chi-square to determine if gender and the number of
days a week an employee exercises are independent at the .01 level of
significance
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