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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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