Government shutdown. The United States federal government shutdown of 2018-2019 occurred rom December 22, 2018 until January 25, 2019, a span of 35 days. A Survey USA poll of 614 randomly ampled Americans during this time period reported that 48% of those who make less than $40,000 per rear and 55% of those who make $40,000 or more per year said the government shutdown has not at all affected them personally. A 95% confidence interval for (p<40K – P240K), where p is the proportion of those vho said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on this nformation, determine if the following statements are true or false, and explain your reasoning if you identify he statement as false.24 a) At the 5% significance level, the data provide convincing evidence of a real difference in the proportion who are not affected personally between Americans who make less than $40,000 annually and Americans who make $40,000 annually. b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per year 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 – P240K) would be wider than the (-0.16,0.02) interval.
Government shutdown. The United States federal government shutdown of 2018-2019 occurred rom December 22, 2018 until January 25, 2019, a span of 35 days. A Survey USA poll of 614 randomly ampled Americans during this time period reported that 48% of those who make less than $40,000 per rear and 55% of those who make $40,000 or more per year said the government shutdown has not at all affected them personally. A 95% confidence interval for (p<40K – P240K), where p is the proportion of those vho said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on this nformation, determine if the following statements are true or false, and explain your reasoning if you identify he statement as false.24 a) At the 5% significance level, the data provide convincing evidence of a real difference in the proportion who are not affected personally between Americans who make less than $40,000 annually and Americans who make $40,000 annually. b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per year 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 – P240K) would be wider than the (-0.16,0.02) interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text:Government shutdown. The United States federal government shutdown of 2018–2019 occurred
from December 22, 2018 until January 25, 2019, a span of 35 days. A Survey USA poll of 614 randomly
sampled Americans during this time period reported that 48% of those who make less than $40,000 per
year and 55% of those who make $40,000 or more per year said the government shutdown has not at all
affected them personally. A 95% confidence interval for (p<40K – p>40K), where p is the proportion of those
who said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on this
information, determine if the following statements are true or false, and explain your reasoning if you identify
the statement as false."
24
(a) At the 5% significance level, the data provide convincing evidence of a real difference in the proportion
who are not affected personally between Americans who make less than $40,000 annually and Americans
who make $40,000 annually.
(b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per year 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 (p>40K – P<40K) is (-0.02, 0.16).
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