Question

Which one of the following statements is false?

A. The extent of the interval on either side of the observed proportion is called the margin of error.

B. The critical value is the number of means away from the standard error of the sampling distribution to correspond to the specified level of

confidence.

C. We always need to check our independence assumption and the sample size assumption when constructing a confidence interval for the proportion.

D. Confidence intervals are estimates about the population parameter.

Please explain why and show work if possible. Thank you!

Answer 1

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Answer is B.

A - True, Margin of error is an interval around the mean

B - FALSE. The critical value should be the number of means away from the MEAN ( and not standard error) of sampling distribution corresponding to a level of confidence, also called as Z

C - True. These 2 assumptions are to be met before constructing the confidence interval

D- True, its an estimate of the population parameter.