Responses to a Survey Question About Color Preference for a Candy

question 57

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:

Labor Efficiency Variance

A measure used to assess the difference between the actual hours worked and the standard hours allotted to complete a task, multiplied by the standard hourly labor rate.

Variable Overhead

Refers to the indirect costs of operation that fluctuate with the level of production activity, such as utilities for manufacturing facilities.

Labor Rate Variance

The difference between the actual cost of labor and the expected (or standard) cost, indicating efficiency or inefficiency in labor usage.

Direct Labor

Direct labor involves the work of employees that is directly attributable to the production of goods or provision of services, such as manufacturing labor costs.