Responses to a Survey Question About Color Preference for a Candy

question 65

Multiple Choice

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) Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that candy color preference and gender are independent.
• B) Fail to reject the null hypothesis. There is 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 not 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.