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?
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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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100%
- 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?
- There is a 99% chance that the true value of implies between 0.113 and 0.171.
- 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. - 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.
- 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.
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