A survey asked US teens whether they consider anxiety/depression a major problem among their peers. The table
Question:
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.
| Income | Major Problem | Not Major Problem | Total |
|---|---|---|---|
| Less than $75,000 | 386 | 150 | 536 |
| More than $75,000 | 258 | 126 | 384 |
| Total | 644 | 276 | 920 |
(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?
Expert Answer:
a The proportion of teens in households with income below 75000 who think anxietydepression is a major problem can be calculated as Proportion Major P... View the full answer
