The number of successes and the sample size for a simple random sample from a population are given below.

x=3, n=100, H0: p=0.04, Ha: p<0.04, =0.10

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

1. The sample proportion is =

2. Is it appropriate to use the one-proportion z-test?

a. Yes

b. No

3. Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.

Z=

4. Identify the critical value(s), if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.

5.Identify the critical value(s), if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.

6. What is the correct conclusion for the hypothesis test?

A. Do not reject H0; the data do not provide sufficient evidence to conclude that p<0.04.

B. Reject H0; the data do not provide sufficient evidence to conclude that p<0.04.

C. Do not reject H0; the data do provide sufficient evidence to conclude that p<0.04.

D. Reject H0; the data do provide sufficient evidence to conclude that p<0.04.

E. The one-proportion z-test is not appropriate.