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

Category ---------- Observed Freq ---------- Expected Freq

A --------------------------- 22 ------------------_______?_______

B --------------------------- 20 ------------------ _______?_______

C --------------------------- 22 ------------------ _______?_______

D --------------------------- 12 ------------------ _______?_______

E --------------------------- 13 ------------------ _______?_______

What is the chi-square test-statistic for this data? (Report answer accurate to 3 decimal places and use the unrounded Pearson residuals in your calculations.)

x ^{2 =} __________________

What are the degrees of freedom for this test?

d.f. = ____________________

What is the p-value for this sample? (Report answer accurate to 4 decimal places).

p-value = ________________

The p-value is:

a. less than or equal to a

b. greater than a

This test statistic leads to a decision to:

a. reject the null

b. accept the null

c. fail to reject the null

d. accept the alternative

As such, the final conclusion is that:

a. There is sufficient evidence to warrant rejection of 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. The sample data support 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.