Confidence interval for a population proportion


Q1. The width of a confidence interval 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. Wider for 90% confidence than 95% confidence

D. Narrower when the sample standard deviation (s) is large than when s is small

Q2. When the level of confidence and sample size remain the same, a confidence interval for a population proportion p will be __________ when p(1-p) is larger than when p(1-p) is smaller.

A. Narrower

B. Wider

C. Neither A nor B, they will be the same

D. Cannot tell from the information given

Q3. A confidence interval increases in width as

A. The level of confidence increases

B. n decreases

C. s increases

D. All of the above

E. None of the above

Q4. In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3 inches. What is the 95% confidence interval for the true mean length of the bolt?

A. 2.804 to 3.196

B. 2.308 to 3.692

C. 2.769 to 3.231

D. 2.412 to 3.588

E. 2.814 to 3.186

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Basic Statistics: Confidence interval for a population proportion
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