# You are conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5...

###### Question:

You are conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table.

Category Observed
Frequency
Expected
Frequency
A 10
B 5
C 21
D 14
E 8

What is the chi-square test-statistic for this data?

χ2=

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...

• A. less than (or equal to) α
• B. greater than α

This test statistic leads mean we?

• A. fail to reject the null
• B. accept the null
• C. reject the null
• D. accept the alternative

so, the final conclusion is that?

• A. The sample data support the claim that all 5 categories are equally likely to be selected.
• B. There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
• C. There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
• D. There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.

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