16. A 95% confidence interval for the proportion of Americans under the age of t

Question

16. A 95% confidence interval for the proportion of Americans under the age of thirty who skip breakfast is found to be (0.2025, 0.2795). For each choice below, answer True or False:

a. T or F There is a 95% probability that the true proportion of Americans under the age of thirty who skip breakfast is between 20.25% and 27.95%.

b. If this study were to be repeated many times with samples of the same size, then 95% of the time the true proportion will be between 0.2025 and 0.2795 on average.

c. T or F We can be 95% confident that, on average, the proportion of Americans under the age of thirty sampled who skip breakfast is between 0.2025 and 0.2795.

d. T or F   We can be 95% confident that, on average, the proportion of Americans under the age of thirty who skip breakfast is between 0.2025 and 0.2795.

e. T or F If were were to construct one hundred confidence intervals, then 95% of them would contain the true proportion of Americans under the age of thirty who skip breakfast, five percent would not.

Explanation / Answer

a. FALSE
b. FALSE
c. TRUE
D. TRUE
E. FALSE

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