Solve the Problem. -A Researcher Is Interested in Estimating the Proportion of Voters

question 141

Multiple Choice

Solve the problem.
-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,
P: 0.113 < 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, in the long run 99% of the confidence intervals would contain the true value of p.
• C) 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.
• D) There is a 99% chance that the true value of p lies between 0.113 and 0.171.

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Definitions:

Inhibited

Restrained, held back, or suppressed, often in context of emotions, behaviors, or reactions.

Physiological Distinctions

Differences in the functions and processes of living organisms that are biologically based.

Cultures

The patterns of behavior, beliefs, and values shared by a group of people.

Fathers

Male parents who play a significant role in children's development, providing support, care, and guidance.