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

Question

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

Quizplus · Accepted Answer

The correct answer is A because the test value of 16.170 is greater than the critical value of 9.488 for a chi-square test with 4 degrees of freedom (5 categories - 1) at the $\alpha = 0.05$ significance level, indicating that there is evidence to reject the null hypothesis that the favorite music types are distributed as claimed.

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

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