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

Question 6

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A random group of students was asked to name their favorite type of music. The campus radio station believes that 16%16 \% of the students prefer rap, 26%26 \% prefer rock, 15%15 \% country, 11%11 \% prefer new age, and 32%32 \% prefer oldies. Is there evidence to reject this hypothesis at α=0.05\alpha = 0.05 ?
 Type of music  Rap  Rock  Country  New Age  Oldies  Number of Students 2429182018\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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