A researcher is interested in estimating the proportion of voters who favor a tax on 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 vallid interpretation of this confidence interval? merce. If many different samples of size 250 were selected and, based on cach sample, a confidence interval were constructed, in the long run 99% of the confidence intervals would contaim the true value of p. There is a 99% chance that the true value of p is 0.142. If many different samples of size 250 were selected and, based on cach sample, a confidence interval were constructed, 99% of the time the true value of p would lie between 0.113 and 0.171. O If 100 different samples of size 250 were selected and, based on cach sample, a confidensce interval were constructed, exactly 99 of these confidence intervals would contain the true value of p.

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