The width of a confidence interval estimate for a proportion will be A. Wider fo
ID: 3181571 • Letter: T
Question
The width of a confidence interval estimate for a proportion will be A. Wider for 99% confidence than 90% confidence. B. Wider for a sample size of 50 than for a sample size of 100. 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, a decrease 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 s = 0.05, the "T" value from the table is: A. 2.797 B. 2.787 C. 2.58 D. 1.96 E. None of the aboveExplanation / Answer
3. In constructing the confidence interval ,if we decrease the sample size will lead to increase in width of confidence interval because it increase the standard error ,lesser the sample size lesser will be the chances of accurate mean finding.
so option B is correct one
4.degree of freedom =25-1=24 ,SD=0.05 ,95% CONFIDENCE INTERVAL ,p=0.05
from the table t value=2.06
E is correct one
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