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Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people who live within one mile from a hazardous waste site. If 95% confidence intervals were calculated for a scenario where p=0.3 and another scenario where p=0.7, how would the two confidence intervals compare? Since the sample proportion in the first scenario is smaller, its confidence interval would be wider. b. Since the sample proportion in the second scenario is larger, its confidence interval would be а. shifted to the left and narrower than the one calculated from the first scenario. с. Since the sample proportion in the first scenario is smaller, its confidence interval would be narrower. d. Even though the sample proportions are different, the widths of the confidence intervals would be equal. е. This cannot be determined from the information given.

Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people who live within one mile from a hazardous waste site. If 95% confidence intervals were calculated for a scenario where p=0.3 and another scenario where p=0.7, how would the two confidence intervals compare? Since the sample proportion in the first scenario is smaller, its confidence interval would be wider. b. Since the sample proportion in the second scenario is larger, its confidence interval would be а. shifted to the left and narrower than the one calculated from the first scenario. с. Since the sample proportion in the first scenario is smaller, its confidence interval would be narrower. d. Even though the sample proportions are different, the widths of the confidence intervals would be equal. е. This cannot be determined from the information given.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people who live within one mile from a hazardous waste site. If 95% confidence intervals were calculated for a scenario where p=0.3 and another scenario where p=0.7, how would the two confidence intervals compare? a. Since the sample proportion in the first scenario is smaller, its confidence interval would be wider. b. Since the sample proportion in the second scenario is larger, its confidence interval would be shifted to the left and narrower than the one calculated from the first scenario. C. Since the sample proportion in the first scenario is smaller, its confidence interval would be narrower. d. Even though the sample proportions are different, the widths of the confidence intervals would be equal. e. This cannot be determined from the information given.
Transcribed Image Text:Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people who live within one mile from a hazardous waste site. If 95% confidence intervals were calculated for a scenario where p=0.3 and another scenario where p=0.7, how would the two confidence intervals compare? a. Since the sample proportion in the first scenario is smaller, its confidence interval would be wider. b. Since the sample proportion in the second scenario is larger, its confidence interval would be shifted to the left and narrower than the one calculated from the first scenario. C. Since the sample proportion in the first scenario is smaller, its confidence interval would be narrower. d. Even though the sample proportions are different, the widths of the confidence intervals would be equal. e. This cannot be determined from the information given.
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