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A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide Co conduct polls to predict the outcome. The local newspaper finds that 46% of 1450 randomly selected voters plan to wote "yes," while a college Statistics class finds 45% of 200 randomly selected voters in support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to pass. Complete parts a through c below. ... a) Without finding the confidence intervals, explain which one will have the larger margin of error. The Statistics class will have the larger margin of error, at least mainly because it has a much smaller sample size. b) Find both confidence intervals. The confidence interval for the local newspaper is (43.4%, 48.6%). (Round to one decimal place as needed.) The confidence interval for the college Statistics class (38.1 %, 51.9%). (Round to one decimal place as needed.) c) Which group concludes that the outcome is too close to call? Why? group(s) that the outcome is too close to call, since the interval(s) obtained by this/these tre -0

A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide Co conduct polls to predict the outcome. The local newspaper finds that 46% of 1450 randomly selected voters plan to wote "yes," while a college Statistics class finds 45% of 200 randomly selected voters in support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to pass. Complete parts a through c below. ... a) Without finding the confidence intervals, explain which one will have the larger margin of error. The Statistics class will have the larger margin of error, at least mainly because it has a much smaller sample size. b) Find both confidence intervals. The confidence interval for the local newspaper is (43.4%, 48.6%). (Round to one decimal place as needed.) The confidence interval for the college Statistics class (38.1 %, 51.9%). (Round to one decimal place as needed.) c) Which group concludes that the outcome is too close to call? Why? group(s) that the outcome is too close to call, since the interval(s) obtained by this/these tre -0

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide to conduct polls to predict the outcome. The local newspaper finds that 46% of 1450 randomly selected voters plan to vote "yes," while a college Statistics class finds 45% of 200 randomly selected voters in support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to pass. Complete parts a through c below. ... a) Without finding the confidence intervals, explain which one will have the larger margin of error. The Statistics class will have the larger margin of error, at least mainly because it has a much smaller sample size. b) Find both confidence intervals. The confidence interval for the local newspaper is (43.4%, 48.6%). (Round to one decimal place as needed.) The confidence interval for the college Statistics class (38.1 %, 51.9%). (Round to one decimal place as needed.) c) Which group concludes that the outcome is too close to call? Why? group(s) that the outcome is too close to call, since the interval(s) obtained by this/these cre -0
Transcribed Image Text:A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide to conduct polls to predict the outcome. The local newspaper finds that 46% of 1450 randomly selected voters plan to vote "yes," while a college Statistics class finds 45% of 200 randomly selected voters in support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority vote to pass. Complete parts a through c below. ... a) Without finding the confidence intervals, explain which one will have the larger margin of error. The Statistics class will have the larger margin of error, at least mainly because it has a much smaller sample size. b) Find both confidence intervals. The confidence interval for the local newspaper is (43.4%, 48.6%). (Round to one decimal place as needed.) The confidence interval for the college Statistics class (38.1 %, 51.9%). (Round to one decimal place as needed.) c) Which group concludes that the outcome is too close to call? Why? group(s) that the outcome is too close to call, since the interval(s) obtained by this/these cre -0
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