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An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Okeechobee county. The economist found that 5.2% of a random sample of 645 county residents were unemployed. Find three different confidence intervals for the true proportion of Okeechobee county residents who are unemployed. Calculate one confidence interval with a 95% confidence level, one with a 97% confidence level, and one with a 98% 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 95% confidence interval is given by E A 95% 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 • The margin of error for a 98% confidence interval is given by E

A 98% 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 If the level of confidence is increased, leaving all other characteristics constant, the width of the confidence interval will Select an answer