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The width of a confidence interval estimate for a proportion will be A. Narrower

ID: 3222883 • Letter: T

Question

The width of a confidence interval estimate for a proportion will be A. Narrower for 95% confidence than 99% confidence. B. Wider for a sample size of 100 than for a sample size of 50. C. Narrower for 95% confidence than 90% confidence. D. Narrower when the sample proportion is 0.50 than when the sample proportion is 0.20. In constructing of confidence interval, if all other quantities are unchanged, an increase in the sample size will lead to a _______ interval. A) Narrower. B. Wider. C. Less significant. D. biased. If you were constructing a 95% confidence interval of the population mean based on a sample of n = 25 where the standard deviation is sigma = 0.05. the critical value of will be: A. 2.797 B. 2.787 C. 2.58 D. 1.96

Explanation / Answer

1) Narrower for 95% confidence then 99% confidence --option A .

2)an increase in sample size : option A ; narrower

3)option D is correct