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Express the confidence interval using Express the confidence interval (0.422, 0.

ID: 3237928 • Letter: E

Question

Express the confidence interval using Express the confidence interval (0.422, 0.566) in the form of p plusminus E. A) 0.494 plusminus 0.144 B) 0.422 plusminus 0.144 C) 0.422 plusminus 0.072 D) 0.494 plusminus 0.072 Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 99% confidence; n = 4400, x = 1320 A) 0.0135 B) 0.0155 C) 0.0101 D) 0.0177 95% confidence; the sample size is 2000, of which 50% are successes A) 0.0164 B) 0.0219 C) 0.0252 D) 0.0288 Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 81, x = 31; 98% confidence A) 0.277

Explanation / Answer

76)

Margin of error (e) = 0.09,

Confidence level (Z) = 90%

P = 0.19.

Minimum sample size (n) = (z2 * P(1-P)/ e2)

= 1.64492 * 0.19 * 0.81 / 0.092

= 51.4

That is minimum sample size is 52 .

Answer C) is correct.

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