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Confidence Interval for difference between proportions

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In random, independent samples of 200 adults and 400 teenagers who watched a certain television show, 134 adults and 272 teens indicated that they liked the show. Let P1 be the proportion of all adults watching the show who liked it, and let P2 be the proportion of all teens watching the show who liked it. Find a 99% confidence interval for P1-P2. Then complete the table below.

1. What is the lower limit of the 99% confidence interval?

2. What is the upper limit of the 99% confidence interval?

Solution Summary

Calculates the confidence interval for difference between proportions of adulats and teenagers who like a television show.

Solution Preview

In random, independent samples of 200 adults and 400 teenagers who watched a certain television show, 134 adults and 272 teens indicated that they liked the show. Let P1 be the proportion of all adults watching the show who liked it, and let P2 be the proportion of all teens watching the show who liked it. Find a 99% confidence interval for P1-P2. Then complete the table below.

Data
Confidence level= 99%
Significance level=100%-Confidence level= 1% = 100%-99.%

x= like show
n=sample size
p= proportion ...

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