Hard Times: In June 2010, a random poll of 800 working men found that 9% had...
Hard Times: In June 2010, a random poll of 800 working men found that 9% had taken a second job to help pay the bills
A) Estimate the true percentage of men that are taking on second jobs y constructing a 95% confidence interval
B) A pundit on TV news show claimed that only 6% of working men had a second job. Use your confidence interval to test whether his claim is plausible given the poll data.
Homework Answers
A)
95% confidence interval for p is
-
Z
/2 * sqrt [
( 1 -
) / n ] <
p < +
Z/2 * sqrt [
( 1 -
) / n ]
0.09 - 1.96 * sqrt [ 0.09 * ( 1 - 0.09) / 800] < p < 0.09 + 1.96 * sqrt [ 0.09 * ( 1 - 0.09) / 800]
0.070 < p < 0.110
95% CI is ( 0.070 , 0.110 )
B)
Since 0.06 not contained in confidence interval we have sufficient evidence to reject the claim that 6% of working
men had a second job.
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Plz attach formula and step by
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A random poll of 800 working men found that 9% had taken on a second job to help pay the bills. a) Estimate the true percentage of men that are taking on second jobs by constructing a 95% confidence interval. b) A pundit on a TV news show claimed that only 6% of working men had a second job. Use your confidence interval to test whether his claim is...
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