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...

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. Find the critical value chi Subscript alpha Superscript 2χ2α to test the claim that the probabilities show no preference. Use alphaαequals=0.01. Round to three decimal places.

Plan                            1             2             3            4              5

Employees                32          30          55           65          18

A) 13.277

B) 11.143

C) 9.488

D) 14.860

Employees

We test this with chi-square goodness of fit test.Null hypothesis: True proportions in all 5 categories is equal to their claimed value.Alternative hypothesis: Atleast one proportions is...