In random, independent samples of 400 adults and 275 teenagers who watched a certain television show, 224 adults and 121 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 95% confidence interval for p₁-P₂. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: X Upper limit: 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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In random, independent samples of 400 adults and 275 teenagers who watched a certain television show, 224 adults and 121 teens indicated that they liked the
show. Let p, be the proportion of all adults watching the show who liked it, and let p, be the proportion of all teens watching the show who liked it. Find a 95%
confidence interval for p,-P2. Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of
formulas.)
Lower limit:
Upper limit:
Transcribed Image Text:In random, independent samples of 400 adults and 275 teenagers who watched a certain television show, 224 adults and 121 teens indicated that they liked the show. Let p, be the proportion of all adults watching the show who liked it, and let p, be the proportion of all teens watching the show who liked it. Find a 95% confidence interval for p,-P2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
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