A taste test of randomly selected students was conducted to see if there was a difference in preferences among four popular drinks. The following table shows the frequency of responses: $$\begin{array} { | l | c | c | c | c | }
\hline \text { Beverage } & \text { Coke } & \text { Pepsi } & \text { A\&W Root Beer } & \text { Dr Pepper } \
\hline \text { Frequency } & 51 & 66 & 43 & 40 \
\hline
\end{array}$$ Using ? = .025, the critical value of the test you would use in determining whether the preferences are the same among the drinks is:
A)5.991.
B)7.378.
C)9.348.
D)11.07.

Question

A taste test of randomly selected students was conducted to see if there was a difference in preferences among four popular drinks. The following table shows the frequency of responses: $$\begin{array} { | l | c | c | c | c | } 
\hline \text { Beverage } & \text { Coke } & \text { Pepsi } & \text { A\&W Root Beer } & \text { Dr Pepper } \
\hline \text { Frequency } & 51 & 66 & 43 & 40 \
\hline
\end{array}$$ Using ? = .025, the critical value of the test you would use in determining whether the preferences are the same among the drinks is:
A)5.991.
B)7.378.
C)9.348.
D)11.07.

Quizplus · Accepted Answer

The critical value for a chi-square test with 3 degrees of freedom (4 categories - 1) at a significance level of 0.025 is 9.348.

A Taste Test of Randomly Selected Students Was Conducted to See