Question

Participants in a survey were asked whether they favored or opposed the death penalty for people convicted of murder. Software shows the results below. Here, X refers to the number of the respondents who were IN FAVOR of the death penalty. Sample p 1764 2565 95.0% CI (0.670, 0.706) (a) Show how to obtain the value that should be reported under "Sample p." 1764 / 2565 = 0.688 (3 decimal places) (b) What is the margin of error for this confidence interval? 0.018 (3 decimal places) (c) Which of the following is true about the 95% confidence interval shown in the computer output? . We are 95% confident that the true population proportion of people who favor the death penalty is between 0.670 and 0.706. We are 95% confident that the true population proportion of people who oppose the death penalty is between 0.670 and 0.706. The method used to construct this interval will give correct results approximately 95% of the time. We are 95% confident that the sample proportion of people who favor the death penalty is between 0.670 and 0.706. (d) Mark all of the following that correctly describe the confidence LEVEL, or the "long-run" interpretation of "95% confidence". Select all that apply. Approximately 95% of the intervals created using this method will contain the true population proportion of people who oppose the death penalty. Approximately 5% of intervals created using this method will NOT contain the true population proportion of people who favor the death penalty. Approximately 95% of intervals created using this method will NOT contain the true population proportion of people who favor the death penalty. If 400 intervals are constructed, approximately 380 will contain the true proportion of people who favor the death penalty. Approximately 95% of intervals created using this method will contain the true population proportion of people who favor the death penalty.

(d) Mark all of the following that correctly describe the confidence LEVEL, or the "long-run" interpretation of "95% confidence"

Answer 1

(d) Mark all of the following that correctly describe the confidence LEVEL, or the long-run" interpretation of "95% confidence". Select all that apply. Approximately 95% of the intervals created using this method will contain the true population proportion of people who oppose the death penalty. Approximately 5% of intervals created using this method will NOT contain the true population proportion of people who favor the death penalty. Approximately 95% of intervals created using this method will NOT contain the true population proportion of people who favor the death penalty. If 400 intervals are constructed, approximately 380 will contain the true proportion of people who favor the death penalty. Approximately 95% of intervals created using this method will contain the true population proportion of people who favor the death penalty.