In 2003 and 2017 a poll asked Democratic voters about their views on the FBI. In 2003, 39% thought the FBI did a good or

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In 2003 And 2017 A Poll Asked Democratic Voters About Their Views On The Fbi In 2003 39 Thought The Fbi Did A Good Or 1 (73.5 KiB) Viewed 23 times

In 2003 and 2017 a poll asked Democratic voters about their views on the FBI. In 2003, 39% thought the FBI did a good or excellent job. In 2017,61% of Den voters felt this way. Assume these percentages are based on samples of 1100 Democratic voters. Complete parts (a) through (d) below. a. Can we conclude, on the basis of these two percentages alone, that the proportion of Democratic voters who think the FBI is doing a good or excellent job increased from 2003 to 2017? Why or why not? No. Although a lesser percentage is present in the sample, the population percentages could be the same or even reversed. B. No. Since a greater percentage is present in the sample, we cannot conclude that a lesser percentage of Democratic voters who think the FBI is doing good or excellent job is present in the population. c. Yes. Since a lesser percentage is present in the sample, a lesser percentage of Democratic voters who think the FBI is doing a good or excellent job i present in the population D. No. Although a lesser percentage is present in the sample, the population percentages could be the same, but could not be reversed. b. Check that the conditions for using the two-proportion confidence interval hold. You can assume that the sample is a random sample The Random and Independent condition holds, assuming a random sample. The Large Samples condition holds. The Big Populations condition can reasonably be assumed to hold The Independent Samples condition holds. c. Construct a 95% confidence interval for the difference in the proportions of Democratic voters who believe the FBI is doing a good or excellent job, P4-P2. be the proportion of Democratic voters who felt this way in 2003 and P2 be the proportion of Democratic voters who felt this way in 2017, The 95% confidence interval is ( -0.261. - 0.179 ). (Round to three decimal places as needed.) d. Interpret the interval you constructed in part (C). Has the proportion of Democratic voters who feel this way increased? Explain that the difference in is between the lower and upper boundaries of the confidence interval. The in 0, suggesting that it is not plausible that the proportions are the same. Since the boundary values are both negative, can conclude that a lesser percentage of Democratic voters thought the FBI did a good or excellent job in 2003 than in 2017. we