Provide an appropriate response.
-An article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the results of a poll, showed that $46 \%$ would like more discussion about the family's financial situation, $37 \%$ would like to talk about school, and $30 \%$ would like to talk about religion. These and other percentages were based on a national sampling of 502 teenagers. Estimate the proportion of all teenagers who want more family discussions about school. Use a $95 \%$ confidence level.
A) $0.37 \pm 0.042$
B) $0.37 \pm 0.002$
C) $0.63 \pm 0.042$
D) $0.63 \pm 0.002$

Question

Quizplus · Accepted Answer

The proportion of teenagers who want more family discussions about school is $37\%$, or $0.37$. To estimate the proportion with a $95\%$ confidence level, we use the formula for the confidence interval for a proportion: $\hat{p} \pm z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$, where $\hat{p} = 0.37$, $n = 502$, and $z$ is the z-score corresponding to a $95\%$ confidence level (approximately 1.96). Calculating the margin of error gives a result that matches choice A, indicating a confidence interval of $0.37 \pm 0.042$.

Provide an Appropriate Response 46%46 \%46% Would Like More Discussion About the Family's Financial Situation

Provide an Appropriate Response $46 \%$ Would Like More Discussion About the Family's Financial Situation