You may need to use the appropriate appendix table or technology to answer this question.

Consider the following hypothesis test.

H₀: p = 0.30

H_a: p 0.30

A sample of 500 provided a sample proportion

p = 0.275.

(a)Compute the value of the test statistic. (Round your answer to two decimal places.).....?

(b)What is the p-value? (Round your answer to four decimal places.) p-value .....?

(c)At = 0.05,what is your conclusion?

Reject H₀. There is insufficient evidence to conclude that p 0.30.

Reject H₀. There is sufficient evidence to conclude that p 0.30.

Do not reject H₀. There is sufficient evidence to conclude that p 0.30.

Do not reject H₀. There is insufficient evidence to conclude that p 0.30.

(d) What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic .....?

test statistic ....?

What is your conclusion?

Reject H₀. There is insufficient evidence to conclude that p 0.30.

Reject H₀. There is sufficient evidence to conclude that p 0.30.

Do not reject H₀. There is sufficient evidence to conclude that p 0.30.

Do not reject H₀. There is insufficient evidence to conclude that p 0.30.