Consider the following hypothesis test.

H₀: p = 0.20

H_a: p 0.20

A sample of 500 provided a sample proportion

p = 0.185.

(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? Multiple choice

a)Reject H₀. There is sufficient evidence to conclude that p 0.20.

b) Do not reject H₀. There is insufficient evidence to conclude that p 0.20.

c) Reject H₀. There is insufficient evidence to conclude that p 0.20.

d) Do not reject H₀. There is sufficient evidence to conclude that p 0.20.

(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? Multiple choice

a) Reject H₀. There is sufficient evidence to conclude that p 0.20

b) Do not reject H₀. There is insufficient evidence to conclude that p 0.20.

c) Reject H₀. There is insufficient evidence to conclude that p 0.20.

d) Do not reject H₀. There is sufficient evidence to conclude that p 0.20.