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A survey asked US teens whether they consider anxiety/depression a major problem among their peers. The table below shows the results of whether teens said

A survey asked US teens whether they consider anxiety/depression a major problem among their peers. The table below shows the results of whether teens said it was a major problem or not, based on the household income level of the teens.

IncomeMajor ProblemNot Major ProblemTotal
Less than $75,000386150536
More than $75,000258126384
Total644276920

(a) What proportion of teens in households with income below $75,000 think it is a major problem?

(b) Give the notation and the value of the relevant sample statistic.

(c) Use StatKey or other technology to find the standard error for this statistic using a bootstrap distribution.

(d) Use the standard error to find a 95% confidence interval for the difference in proportions.

(e) Can we conclude that there is a difference in the proportion believing anxiety/depression is a major problem for their peers, between those with household income below $75,000 and those with income above that level?

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