A Researcher Is Interested in Estimating the Proportion of Voters $\mathrm { p } : 0.113 < \mathrm { p } < 0.171$

question 62

Multiple Choice

A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion, $\mathrm { p } : 0.113 < \mathrm { p } < 0.171$ Which of the statements below is a valid interpretation
Of this confidence interval?

• A) If 100 different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, exactly 99 of these confidence intervals would contain the true value of p.
• B) If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, 99% of the time the true value of p would lie between 0.113 and 0.171.
• C) There is a 99% chance that the true value of p lies between 0.113 and 0.171.
• D) If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, in the long run 99% of the confidence intervals would contain the true value of p.

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