Confidence intervals, again Several factors are involved in the creation of a co

Question

Confidence intervals, again Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true? a) For a given sample size, reducing the margin of error will mean lower confidence. b) For a certain confidence level, you can get a smaller marginal of error by selecting a bigger sample. c) For a fixed margin of error, smaller samples will mean lower confidence. d) For a given confidence level, a sample 9 times as large will make a margin of error one third as big.

Explanation / Answer

a) True

Since the margine of error will reduce then the lower the confidence interval. That is, margin of error will decrease then the confidence interval will get smaller and as well as the confidence level decreases then the confidence intervals also decreases.

b) True

c) True

d) True

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