You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Note: Expected frequency is E=n.p. Category Observed Expected Frequency Frequency A 23 B 22 C 21 D 14 E 13 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) x² == What are the degrees of freedom for this test? d.f.- What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value- Is the p-value less than a? Oyes O no This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally
likely to be selected. Complete the table. Note: Expected frequency is E = n. p.
Category
Observed Expected
Frequency Frequency
A
23
B
22
22
C
21
21
D
14
E
13
Report all answers accurate to three decimal places. But retain unrounded numbers for future
calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and
remember to use the unrounded Pearson residuals in your calculations.)
What are the degrees of freedom for this test?
d.f.-
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value
Is the p-value less than a?
Oyes
Ono
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
O accept the alternative
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely
to be selected.
Transcribed Image Text:You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Note: Expected frequency is E = n. p. Category Observed Expected Frequency Frequency A 23 B 22 22 C 21 21 D 14 E 13 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.- What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value Is the p-value less than a? Oyes Ono This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
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