Question

Suppose that you are testing the hypotheses H₀ p=0.21 vs. H_A p ?0.21.A sample of size 300 results in a sample proportion of 0.27.

?a) Construct a 90?% confidence interval for p.

?b) Based on the confidence? interval, can you reject H₀ at alpha=0.100?? Explain.

?c) What is the difference between the standard error and standard deviation of the sample? proportion?

?d) Which is used in computing the confidence? interval?

Answer 1

Solution: ?

a) Construct a 90?% confidence interval for p.

Answer: The 90% confidence interval for p is:

90% confidence interval is

?b) Based on the confidence? interval, can you reject H0 at alpha=0.100?? Explain.

Answer: Since the confidence interval does not contain the null hypothesis value, it indicates to reject, the null hypothesis at .

?c) What is the difference between the standard error and standard deviation of the sample? proportion?

Answer: The standard error is based on the sample proportion, , while the standard deviation is based on the hypothesized proportion

?d) Which is used in computing the confidence? interval?

Answer: Standard error