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. Test the claim that the probabilities show no preference. Use α=0.01 .
$\begin{array} { l | c l l l l }
\text { Plan } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Employees } & 32 & 18 & 55 & 65 & 30
\end{array}$

Question

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. Test the claim that the probabilities show no preference. Use  α=0.01 .
$\begin{array} { l | c l l l l } 
\text { Plan } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Employees } & 32 & 18 & 55 & 65 & 30
\end{array}$

Quizplus · Accepted Answer

The Answer is critical value

\chi _ { 0 } ^ { 2 }

=13.277 ; chi-square test statistic

\chi ^ { 2 }

=37.45 ; reject H₀ . There is sufficient evidence to reject the claim that employees show no preferences among the plans.

A Company Wants to Determine If Its Employees Have Any Plan 12345 Employees 3218556530\begin{array} { l | c l l l l } \text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 32 & 18 & 55 & 65 & 30\end{array} Plan Employees ​132​218​355​465​530​​

A Company Wants to Determine If Its Employees Have Any $\begin{array} { l | c l l l l } \text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 32 & 18 & 55 & 65 & 30\end{array}$