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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.  Red  Blue  Yellow  Male 255015 Female 203010\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?

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Definitions:

Surtax

An additional tax levied on top of the base tax liability; often applied to income exceeding a certain threshold.

Tax Rates

The percentage at which an individual or corporation is taxed, varying based on income level.

Long-term Capital Gains

Profits from the sale of an asset held for more than a year, generally taxed at a lower rate than short-term capital gains or regular income.

Collectibles

Items of personal property that are considered valuable due to rarity, demand, or historical significance, potentially subject to special capital gains tax rates upon sale.

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