A random group of students was asked to name their favorite type of music. The c
ID: 3262415 • Letter: A
Question
A random group of students was asked to name their favorite type of music. The campus radio station believes that 20% of the students prefer rap, 26% prefer rock, 21% prefer country, 17% prefer new age, and 16% prefer oldies. Is there evidence to reject this hypothesis at = 0.05?
Type of music
Rap
Rock
Country
New Age
Oldies
Number of Students
21
28
18
18
20
A)
There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 1.373 < 7.815
B)
There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 1.373 < 9.488
C)
There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 9.488 > 1.373
D)
There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 11.07 > 1.373
A random group of students was asked to name their favorite type of music. The campus radio station believes that 20% of the students prefer rap, 26% prefer rock, 21% prefer country, 17% prefer new age, and 16% prefer oldies. Is there evidence to reject this hypothesis at = 0.05?
Type of music
Rap
Rock
Country
New Age
Oldies
Number of Students
21
28
18
18
20
A)
There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 1.373 < 7.815
B)
There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 1.373 < 9.488
C)
There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 9.488 > 1.373
D)
There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 11.07 > 1.373
Explanation / Answer
here degree of freedom =categories -1 =4
for 4 degrees of freedom ; at 0.05 level of signficance critical value =9.488
applying chi square goodness of fit test on above:
therefore option B is correct;
B)
There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 1.373 < 9.488
observed Expected Chi square type of music Probability O E=total*p =(O-E)^2/E Rap 0.200 21.000 21.00 0.00 Rock 0.260 28.000 27.30 0.02 Country 0.210 18.000 22.05 0.74 New Age 0.170 18.000 17.85 0.00 Oldies 0.160 20.000 16.80 0.61 1 105 105 1.3726Related Questions
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