Use this scenario for problems 1 - 5. The CEO of a large electric utility claims that more than 80% of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed a simple random sample of 100 customers. Among the sampled customers, 81 said that they were very satisfied. Do these results provide sufficient evidence to support the CEO's claim? Conduct a hypothesis test at the = 0.05 significance level.

1. Question 1

State the hypotheses for this hypothesis test.

Note that "/=" means "not equal to"

H0: p = 0.80

Ha: p = 0.81

H0: p = 0.80

Ha: p > 0.80

H0: p = 0.80

Ha: p < 0.80

H0: p = 0.80

Ha: p /= 0.80

Question2

Calculate the test statistic z. Include 2 decimal places in your answer

Question3

Calculate the p-value. Round to 4 decimal places.

1. Question 4

State the conclusion of the hypothesis test.

Reject the null hypothesis H0

Fail to reject the null hypothesis H0

Reject the alternative hypothesis Ha

Fail to reject the alternative hypothesis Ha

Question5

Interpret the conclusion of this hypothesis test in the context of the problem.

More than 80% of the customers in the sample are very satisfied.

More than 80% of all customers are very satisfied.

We do not have sufficient evidence to conclude that more than 80% of the customers in the sample are very satisfied.

We do not have sufficient evidence to conclude that more than 80% of all customers are very satisfied.