Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a=0.05 significance level.

Category Observed Frequency Expected Frequency

A 19

B 22

C 25

D 22

E 13

a. Complete the table by calculating the expected frequencies.

b. What is the chi-square test statistic?Round to three decimal places.

2=

c. What are the degrees of freedom?

d.f.=

d. What is thep-value for this sample?Round to four decimal places.

p-value =

e Is thep-value less than?

-yes

-No

f. Make a decision.(Select an answer)

-Reject the null.

-Accept the null.

-Fail to reject the null.

-Accept the alternative.

g. Make a conclusion.

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