Question

which one of the following statements about the basic properties of a confidence interval for a population proportion p is false? a. if the confidence coefficient is held fixed, then as the sample size increases, the width of the confidence interval increases. b. if the confidence coefficient increases, the margin of error increases. c. in repeated sampling, 95% of the confidence intervals will contain the parameter p. d. the value of the estimate of p will affect the margin of error.

Answer 1

The false statement is: "if the confidence coefficient is held fixed, then as the sample size increases, the width of the confidence interval increases." This statement is incorrect as, if the confidence coefficient is held fixed, as the sample size increases, the width of the confidence interval decreases. The larger the sample size, the more precise the estimate of the population proportion and the smaller the margin of error, leading to a narrower confidence interval.

Explanation: