In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the =0.05=0.05 significance level, test the claim that the responses occur with the same frequency.

H0H0: The responses to the questions occur with the same frequency. H1H1:The responses to the questions do not occur with the same frequency.

Response	Observed Frequency	Expected Frequency	(OE)2E(O-E)2E
A	14
B	19
C	22
D	10
E	10

1. What is the 22test-statistic for this data? Round to four decimal places. 2=2=
2. What is the pp-value? Round to four decimal places. pp-value==
3. What would be the conclusion of this hypothesis test?
4. What is the final conclusion?
   • There is sufficient evidence to conclude the test question responses occur with the same frequency.
   • There is not sufficient evidence to conclude the test question responses occur with the same frequency.
   • There is not sufficient evidence to conclude the test question responses do not occur with the same frequency.
   • There is sufficient evidence to conclude the test question responses do not occur with the same frequency.

• Reject the null hypothesis.
• Fail to reject the hull hypothesis.