A Random Group of Students Was Asked to Name Their $16 \%$

question 6

Multiple Choice

A random group of students was asked to name their favorite type of music. The campus radio station believes that $16 \%$ of the students prefer rap, $26 \%$ prefer rock, $15 \%$ country, $11 \%$ prefer new age, and $32 \%$ prefer oldies. Is there evidence to reject this hypothesis at $\alpha = 0.05$ ?
$\begin{array} { c c c c c c } \text { Type of music } & \text { Rap } & \text { Rock } & \text { Country } & \text { New Age } & \text { Oldies } \\ \text { Number of Students } & 24 & 29 & 18 & 20 & 18 \end{array}$

• A) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 9.488
• B) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 7.815
• C) There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 9.488 < 16.170
• D) There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 11.070 < 16.170

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Definitions:

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The minimum age at which an individual is legally allowed to purchase and consume alcoholic beverages, which varies by jurisdiction.

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