90% Confidence Interval for Difference Between Two Proportions In random, independent samples of

Tashan Flores

Tashan Flores

Answered question

2022-03-01

90% Confidence Interval for Difference Between Two Proportions
In random, independent samples of 225 adults and 250 teenagers who watched a certain television show, 99 adults and 125 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 90% confidence interval for p1p2.
1. what is the lower limit of the 90% confidence interval
2. what is the upper limit of the 90% confidence interval

Answer & Explanation

Katey Guzman

Katey Guzman

Beginner2022-03-02Added 4 answers

(upper=0.06,+1.64p1(1p1)n1+p2(1p2)n2)
(lower=0.06,1.64p1(1p1)n1+p2(1p2)n2)
upper=.0.06,+1.640.440.56225+0.50.5250
lower=.0.06,1.640.440.56225+0.50.5250
Thus, the interval is (.015,.135)
Notice the sign difference because I used Teens - Adults. It is the same answer as above, but make sure to interpret it correctly. R is of course a lot easier and supplies much more information

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