Question
Suppose that you are testing the hypotheses H0 p=0.21 vs. HA p ?0.21.A sample of size...
Suppose that you are testing the hypotheses H0 p=0.21 vs. HA 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?
Homework Answers
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
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