Mr. Price calculates a 95% confidence interval for the difference between the proportion of Aaron Rodgers's passes that are caught and the proportion of Patrick Mahomes's passes that are caught. The interval for P Rodgers - P Mahomes is given as (-0.05, 0.15). Which of the following is the best interpretation of the confidence level? a. The probability is 0.95 that the difference in the sample proportions (p hat Rodgers - p hat Mahomes) is between −0.05 and 0.15. b. In repeated random sampling with the same sample size, (p hat Rodgers - p hat Mahomes) will be contained in the interval approximately 95 percent of the time. c. In repeated random sampling with the same sample size, p hat Rodgers will be contained in the interval approximately 95 percent of the time. d. In repeated random sampling with the same sample size, approximately 95 percent of the intervals will capture the difference in population proportions, (p Rodgers - p Mahomes) e. In repeated random sampling with the same sample size, p Rodgers will be contained in the interval approximately 95 percent of the time.
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Mr. Price calculates a 95% confidence interval for the difference between the proportion of Aaron Rodgers's passes that are caught and the proportion of Patrick Mahomes's passes that are caught. The interval for P Rodgers - P Mahomes is given as (-0.05, 0.15).
Which of the following is the best interpretation of the confidence level?
- a. The probability is 0.95 that the difference in the sample proportions (p hat Rodgers - p hat Mahomes) is between −0.05 and 0.15.
- b. In repeated random sampling with the same
sample size , (p hat Rodgers - p hat Mahomes) will be contained in the interval approximately 95 percent of the time. - c. In repeated random sampling with the same sample size, p hat Rodgers will be contained in the interval approximately 95 percent of the time.
- d. In repeated random sampling with the same sample size, approximately 95 percent of the intervals will capture the difference in population proportions, (p Rodgers - p Mahomes)
- e. In repeated random sampling with the same sample size, p Rodgers will be contained in the interval approximately 95 percent of the time.
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