A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Calculate the chi-square test statistic to test the claim that the probabilities show no preference. Use equals 0.01.

Plan 1 2 3 4 5

Employees 30 55 18 32 65

(a) find the test statistic

(b) find the p value (which answer choice)

• p-value < 0.0001
• 0.0005 < p value < 0.005
• 0.001 < p value < 0.01
• 0.0001 < p value < 0.001
• 0.01 < p value < 0.02

(c) state your decision (which one)

• reject the null
• fail to reject