Responses to a Survey Question About Color Preference for a Candy

question 44

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:

Abdomen

The part of the body containing the digestive organs; located between the thorax and pelvis.

Stomach

The digestive organ in the gastrointestinal tract that breaks down food with acid and enzymes.

Lymphatic Ducts

Large vessels in the lymphatic system that drain lymph from the lymphatic vessels into the venous system, helping to maintain fluid balance and immune defenses.

Thoracic Duct

The thoracic duct is the largest lymphatic vessel in the human body, responsible for transporting lymph and chyle from the lymphatic system into the bloodstream.