Conditional Probability and Fisher’s Exact Test

Conditional Probability and Fisher’s Exact Test
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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