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 familyʹs financialsituation, 37% would like to talk about school, and 30% would like to talk about religion. These and otherpercentages were based on a national sampling of 546 teenagers. Estimate the proportion of all teenagers who^want more family discussions about school. Use a 95% confidence level. Express the answer in the form p ± Eand round to the nearest thousandth.
A) 0.37 ± 0.040
B) 0.37 ± 0.002
C) 0.63 ± 0.040
D) 0.63 ± 0.002

Question

Quizplus · Accepted Answer

The proportion of teenagers who want more family discussions about school is directly given as 37% or 0.37. To estimate the proportion for all teenagers with a 95% confidence level, we calculate the margin of error (E) using the formula for the confidence interval for a proportion. The choice that correctly reflects a realistic margin of error for a sample size of 546 is 0.37 ± 0.040, which accounts for sampling variability and provides a reasonable level of precision for such a sample size.

An Article a Florida Newspaper Reported on the Topics That