An article in a florida newspaper reported on the tropics th

An article in a florida newspaper reported on the tropics 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 families 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 tennagers who wants more family discussions about school. Use 95% confidence level.

Solution

The proportion of teenagers wanting more discussion about school = 37%

p = 0.37

1 - p = 0.63

95% confidence interval

0.37 +/- (1.96)sqrt ( 0.37 * 0.63 / 502)

Lower limit = 0.3277

Upper Limit = 0.4122

Thus,

(32.77% , 41.22%) is the required confidence interval