Responses to a survey question about color preference for a candy are broken down according to gender in the table given below. At the 0.05 significance level, test the claim that candy
Color preference and gender are independent. $$\begin{array} { l | l l l }
& \text { Red } & \text { Blue } & \text { Yellow } \
\hline \text { Male } & 25 & 50 & 15 \
\text { Female } & 20 & 30 & 10
\end{array}$$ What is your conclusion about the null hypothesis and about the claim?
A) Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.
B) Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.
C) Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.
D) Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.

Question

Responses to a survey question about color preference for a candy are broken down according to gender in the table given below. At the 0.05 significance level, test the claim that candy
Color preference and gender are independent. $$\begin{array} { l | l l l } 
& \text { Red } & \text { Blue } & \text { Yellow } \
\hline \text { Male } & 25 & 50 & 15 \
\text { Female } & 20 & 30 & 10
\end{array}$$ What is your conclusion about the null hypothesis and about the claim?
A) Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.
B) Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.
C) Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.
D) Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.

Quizplus · Accepted Answer

The chi-square test for independence would be used here. After calculating the expected frequencies and the chi-square statistic, if the p-value is greater than 0.05, we fail to reject the null hypothesis, indicating there is not sufficient evidence to conclude that candy color preference and gender are dependent.

Responses to a Survey Question About Color Preference for a Candy