Responses to a Survey Question About Color Preference for a Candy

question 28

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)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.

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Definitions:

Angularity

A condition of having a specified angle or orientation in relation to a datum or reference plane, used in precision manufacturing and machining.

Circularity

A geometric tolerance that limits the amount of variation from a perfect circle, often applied to cylindrical parts to ensure they rotate or fit smoothly.

Tolerance

The permissible limit or limits of variation in a physical dimension, a measured value or physical property of a material, manufactured object, system, or service.

Datums

Reference points, lines, or surfaces on an object against which measurements are made, serving as a basis for the geometric control of the part.