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Standard error and standard deviation of sample proportion

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Reference no: EM131008556

1. Suppose that you are testing the hypotheses H0: p = 0.20 vs. HA: p Z 0.20. A sample of size 250 results in a sample proportion of 0.25.

a) Construct a 95% confidence interval for p.

b) Based on the confidence interval, at a = .05 can you reject H0? 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?

2. Suppose that you are testing the hypotheses H0: p = 0.40 vs. HA: p 7 0.40. A sample of size 200 results in a sample proportion of 0.55.

a) Construct a 90% confidence interval for p.

b) Based on the confidence interval, at a = .05 can you reject H0? 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?

Reference no: EM131008556

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