An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Martin county. The economist found that 3.9% of a random sample of 727 county residents were unemployed. Find three different confidence intervals for the true proportion of Martin county residents who are unemployed. Calculate one confidence interval with a 90% confidence level, one with a 96% confidence level, and one with a 97% confidence level. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to two decimal places, if necessary. The margin of error for a 90% confidence interval is given by E = A 90% confidence interval is given by The margin of error for a 96% confidence interval is given by E = A 96% confidence interval is given by The margin of error for a 97% confidence interval is given by E A 97% confidence interval is given by If the level of confidence is increased, leaving all other characteristics constant, the margin of error of the confidence interval will Select an answer v If the level of confidence is increased, leaving all other characteristics constant, the width of the confidence interval will Select an answer v

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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An economist at the Florida Department of Labor and Employment needs to estimate the unemployment
rate in Martin county. The economist found that 3.9% of a random sample of 727 county residents were
unemployed.
Find three different confidence intervals for the true proportion of Martin county residents who are
unemployed. Calculate one confidence interval with a 90% confidence level, one with a 96% confidence
level, and one with a 97% confidence level. Notice how the confidence level affects the margin of error and
the width of the interval.
Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to
two decimal places, if necessary.
The margin of error for a 90% confidence interval is given by E =
A 90% confidence interval is given by
The margin of error for a 96% confidence interval is given by E =
A 96% confidence interval is given by
The margin of error for a 97% confidence interval is given by E =
A 97% confidence interval is given by
If the level of confidence is increased, leaving all other characteristics constant, the margin of error of the
confidence interval will Select an answer v
If the level of confidence is increased, leaving all other characteristics constant, the width of the
confidence interval will Select an answer
Transcribed Image Text:An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Martin county. The economist found that 3.9% of a random sample of 727 county residents were unemployed. Find three different confidence intervals for the true proportion of Martin county residents who are unemployed. Calculate one confidence interval with a 90% confidence level, one with a 96% confidence level, and one with a 97% confidence level. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to two decimal places, if necessary. The margin of error for a 90% confidence interval is given by E = A 90% confidence interval is given by The margin of error for a 96% confidence interval is given by E = A 96% confidence interval is given by The margin of error for a 97% confidence interval is given by E = A 97% confidence interval is given by If the level of confidence is increased, leaving all other characteristics constant, the margin of error of the confidence interval will Select an answer v If the level of confidence is increased, leaving all other characteristics constant, the width of the confidence interval will Select an answer
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