An educator wants to construct a 98% confidence interval for the proportion of elementary schoolchildren in Colorado who are proficient in reading. i. The results of a recent statewide test suggested that the proportion is 0.65. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.04? ii. Estimate the sample size needed if no estimate of p is available. O i. 770 ii. 846 O i. 547 ii. 601 O i. 944 ii. 1037 O i. 385 ii. 423

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An educator wants to construct a 98% confidence interval for the proportion of elementary schoolchildren in Colorado who are
proficient in reading.
i. The results of a recent statewide test suggested that the proportion is 0.65. Using this estimate, what sample size is needed so that
the confidence interval will have a margin of error of 0.04?
ii. Estimate the sample size needed if no estimate of p is available.
O i. 770
ii. 846
O i. 547
ii. 601
O i. 944
ii. 1037
O i. 385
ii. 423
Transcribed Image Text:An educator wants to construct a 98% confidence interval for the proportion of elementary schoolchildren in Colorado who are proficient in reading. i. The results of a recent statewide test suggested that the proportion is 0.65. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.04? ii. Estimate the sample size needed if no estimate of p is available. O i. 770 ii. 846 O i. 547 ii. 601 O i. 944 ii. 1037 O i. 385 ii. 423
A sample of size n = 45 has mean x = 10.5 and standard deviation s = 14.3.
i. Construct a 99% confidence interval for u.
ii. Estimate the sample size needed so that a 99% confidenceinterval for u will have a margin of error equal to 2.5.
O i. 4.4 μ< 16.6 [Tech:4.5 < μ< 16.1]
ii. 217
O i. 4.4 μ< 16.6 [Tech:4.5 < μ< 16.1]
ii. 218
O i. 4.7 << 16.3 [Tech:4.8 μ< 16.2]
ii. 217
O i. 4.7 < μ< 16.3 [Tech:4.8 < μ< 16.2]
ii. 218
Transcribed Image Text:A sample of size n = 45 has mean x = 10.5 and standard deviation s = 14.3. i. Construct a 99% confidence interval for u. ii. Estimate the sample size needed so that a 99% confidenceinterval for u will have a margin of error equal to 2.5. O i. 4.4 μ< 16.6 [Tech:4.5 < μ< 16.1] ii. 217 O i. 4.4 μ< 16.6 [Tech:4.5 < μ< 16.1] ii. 218 O i. 4.7 << 16.3 [Tech:4.8 μ< 16.2] ii. 217 O i. 4.7 < μ< 16.3 [Tech:4.8 < μ< 16.2] ii. 218
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