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A Company Wants to Determine If Its Employees Have Any χ2\chi ^ { 2 }

question 27

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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 χ2\chi ^ { 2 } to test the claim that the probabilities show no preference. Use α=0.01\alpha = 0.01 .
 Plan 12345 Employees 1865323055\begin{array}{l|cllll}\text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 18 & 65 & 32 & 30 & 55\end{array}


Definitions:

Programming Language

A formal language comprising a set of instructions used to produce various kinds of output, including software programs, that computers can execute or interpret.

Actual Rate

The real interest rate or return on an investment, taking into account inflation.

Interest

The cost of borrowing money or the payment made to a lender by a borrower for the use of money, typically expressed as an annual percentage rate.

Credit Card

A payment card issued to users as a method of payment allowing the cardholder to pay for goods and services based on the holder's promise to pay for them at a later date.

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