A national poll asked, “how would you describe your job situation now compared to before the Covid-19 outbreak??” The results showed that 24% of workers in the U.S. report having a worse job situation now compared to before the COVID-19 outbreak began with a margin of error of 1.8%. (a) Assume the margin of error is reported for a 95% confidence interval, use this information to calculate a 95% confidence interval for the population proportion of persons who have a worse job situation now compared to before the outbreak. (b) Based on the calculated confidence interval, is there evidence that at least 1 out of every 4 (25%) Americans have a worse job situation not compared to before the outbreak? Explain why briefly. (c) What was the sample size of this poll?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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A national poll asked, “how would you describe your job situation now compared to before the Covid-19 outbreak??” The results showed that 24% of workers in the U.S. report having a worse job situation now compared to before the COVID-19 outbreak began with a margin of error of 1.8%.

(a) Assume the margin of error is reported for a 95% confidence interval, use this information to calculate a 95% confidence interval for the population proportion of persons who have a worse job situation now compared to before the outbreak.

(b) Based on the calculated confidence interval, is there evidence that at least 1 out of every 4 (25%) Americans have a worse job situation not compared to before the outbreak? Explain why briefly.

(c) What was the sample size of this poll?

(d) If you wanted a 99% confidence interval for the same study, would your margin of error be greater than, equal to, or less than 1.8%?

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