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% prefer country, 11% prefer new age, and 32% prefer oldies. Is there evidence to reject this hypothesis at a = 0.05? Type of music Rap Rock Country New Age Oldies Number of Students 24 29 18 20 18 A) 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 B) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 9.488 C) 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 D) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 7.815

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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% of the students prefer rap, 26% prefer rock,
15% prefer country, 11% prefer new age, and 32% prefer oldies. Is there evidence to
reject this hypothesis at a = 0.05?
Type of music
Rap
Rock
Country
New Age
Oldies
Number of Students
24
29
18
20
18
A) 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
B) There is evidence to reject the claim that the favorite music types are distributed
as claimed because the test value 16.170 > 9.488
C) 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
D) There is evidence to reject the claim that the favorite music types are distributed
as claimed because the test value 16.170 > 7.815
Transcribed Image Text: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% prefer country, 11% prefer new age, and 32% prefer oldies. Is there evidence to reject this hypothesis at a = 0.05? Type of music Rap Rock Country New Age Oldies Number of Students 24 29 18 20 18 A) 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 B) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 9.488 C) 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 D) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 7.815
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