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The American Bar Association requires that all lawyers in the U.S. to complete 50 hours of...

The American Bar Association requires that all lawyers in the U.S. to complete 50 hours of pro bono work. A survey of 505 lawyers in the U.S. found that 229 of the lawyers surveyed exceeded this requirement. a) Construct a 99% confidence interval for the true percentage of lawyers in the U.S. who exceeded the requirement. Report your answer as a decimal and round to 4 decimal places. ( , ) b) If there are 1,316,000 lawyers in the U.S., what would your confidence interval predict for the number of lawyers who exceed the pro bono requirement? Express your answer as an interval, rounded to the nearest whole number. ( , )

Math   Statistics-And-Probability   
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Answer #1

(a)

(b)

To find the confidence interval for number of lawyers we need to multiply above confidence interval by 1316000.

The required confidence interval is

(0.3931 * 1316000 , 0.5069 * 1316000) = (517319.6, 667080.4)

Answer: ( 517320, 667080)

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