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(d) A 95% confidence interval for (P240K - P<40K) is (-0.02, 0.16).

(d) A 95% confidence interval for (P240K - P<40K) is (-0.02, 0.16).

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
Section: Chapter Questions
Problem 8CR
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6.20 year and 55% of those who make $40,000 or more per year said the government shutdown has pet per affected them personally. A 95% confidence interval for (p<40K – P>40K), where p is the proportion of t1 au who said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on thi information, determine if the following statements are true or false, and explain your reasoning if you jdentic the statement as false.24 (a) At the 5% significance level, the data provide convincing evidence of a real difference in the proDortion who are not affected personally between Americans who make less than $40,000 annually and Americane who make $40,000 annually. (b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per vear are not at all personally affected by the government shutdown compared to those who make $40,000 or more per year. (c) A 90% confidence interval for (p<40K – p>40K) would be wider than the (-0.16,0.02) interval. (d) A 95% confidence interval for (P240K - p<40K) is (-0.02, 0.16).
Transcribed Image Text:6.20 year and 55% of those who make $40,000 or more per year said the government shutdown has pet per affected them personally. A 95% confidence interval for (p<40K – P>40K), where p is the proportion of t1 au who said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on thi information, determine if the following statements are true or false, and explain your reasoning if you jdentic the statement as false.24 (a) At the 5% significance level, the data provide convincing evidence of a real difference in the proDortion who are not affected personally between Americans who make less than $40,000 annually and Americane who make $40,000 annually. (b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per vear are not at all personally affected by the government shutdown compared to those who make $40,000 or more per year. (c) A 90% confidence interval for (p<40K – p>40K) would be wider than the (-0.16,0.02) interval. (d) A 95% confidence interval for (P240K - p<40K) is (-0.02, 0.16).
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