6.20 Government shutdown. The United States federal govern! 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 00mly year and 55% of those who make $40,000 or more per year said the government shutdown has not per affected them personally. A 95% confidence interval for (p<40K - P240K), where p is the proportion of A who said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on information, determine if the following statements are true or false, and explain your reasoning if you identif. the statement as false." 24 (a) At the 5% significance level, the data provide convincing evidence of a real difference in the proporti who are not affected personally between Americans who make less than $40,000 annually and Americne 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.

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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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