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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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?
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.
O If many different samples of size 250 were selected and, based on cach sampile, a confidence interval
were constructed, 99% of the time the true value of p would lie between 0.113 and 0.171.
OIf 100 different samples of size 250 were selected and, based on cach sample, a confidemsce interval
were constructed, exactly 99 of these confidence intervals would contain the true vallue of p.
Transcribed Image Text: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? 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. O If many different samples of size 250 were selected and, based on cach sampile, a confidence interval were constructed, 99% of the time the true value of p would lie between 0.113 and 0.171. OIf 100 different samples of size 250 were selected and, based on cach sample, a confidemsce interval were constructed, exactly 99 of these confidence intervals would contain the true vallue of p.
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