In random, independent samples of 225 adults and 200 teenagers who watched a certain television show, 112 adults and 138 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 −p1p2. 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. a.) The Lower Limit is: b.) The Upper Limit is:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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In random, independent samples of 225 adults and 200 teenagers who watched a certain television show, 112 adults and 138 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 −p1p2. 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.

a.) The Lower Limit is:

b.) The Upper Limit is:

In random, independent samples of 225 adults and 200 teenagers who watched a certain television show, 112 adults and
138 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:
Upper limit:
X
Ś
Transcribed Image Text:In random, independent samples of 225 adults and 200 teenagers who watched a certain television show, 112 adults and 138 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: Upper limit: X Ś
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