A random sample of 500 receipts was taken from a population with an
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A random sample of 500 receipts was taken from a population with an unknown proportion of errors. If the computed confidence interval for the true proportion of receipts that contain an error is (4.22%,10.18%), answer the following questions:
(a) How many out of the sample of 500 was found to contain an error? [Hint: What point is at the center of the confidence interval?]
(b) Approximate the level of confidence that was used to generate this interval.
(c) How large a sample is needed to reduce the margin of error to at most 0.01 (or 1%)? Be conservative by not assuming the sample proportion (obtained from the sample of 500) as the reasonable guess for p. Use the confidence level you found in part (b).
(a) How many out of the sample of 500 was found to contain an error? [Hint: What point is at the center of the confidence interval?]
(b) Approximate the level of confidence that was used to generate this interval.
(c) How large a sample is needed to reduce the margin of error to at most 0.01 (or 1%)? Be conservative by not assuming the sample proportion (obtained from the sample of 500) as the reasonable guess for p. Use the confidence level you found in part (b).
11 years ago
Answer for: A random sample of 500 receipts was taken from a population with an
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