A researcher wanted to estimate the difference between the percentages of users of two tooth- pastes who will never switch to another toothpaste. In a sample of 500 users of Toothpaste A taken by this researcher, 100 said that they will never switch to another toothpaste. In another sample of 400 users of Toothpaste B taken by the same researcher, 68 said that they will never switch to another toothpaste. (a) Let p, and p2 be the proportions of all users of Toothpastes A and B, respectively, who will never switch to another toothpaste. What is the point estimate of p₁ - P₂? (b) Construct a 97% confidence interval for the difference between the proportions of all users of the two toothpastes who will never switch.
A researcher wanted to estimate the difference between the percentages of users of two tooth- pastes who will never switch to another toothpaste. In a sample of 500 users of Toothpaste A taken by this researcher, 100 said that they will never switch to another toothpaste. In another sample of 400 users of Toothpaste B taken by the same researcher, 68 said that they will never switch to another toothpaste. (a) Let p, and p2 be the proportions of all users of Toothpastes A and B, respectively, who will never switch to another toothpaste. What is the point estimate of p₁ - P₂? (b) Construct a 97% confidence interval for the difference between the proportions of all users of the two toothpastes who will never switch.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter4: Factors, Fractions, And Exponents
Section4.4: Least Common Multiple
Problem 64E
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Transcribed Image Text:A researcher wanted to estimate the difference between the percentages of users of two tooth-
pastes who will never switch to another toothpaste. In a sample of 500 users of Toothpaste A
taken by this researcher, 100 said that they will never switch to another toothpaste. In another
sample of 400 users of Toothpaste B taken by the same researcher, 68 said that they will never
switch to another toothpaste.
(a) Let p₁ and p₂ be the proportions of all users of Toothpastes A and B, respectively, who
will never switch to another toothpaste. What is the point estimate of p₁ P2?
Construct a 97% confidence interval for the difference between the proportions of all
users of the two toothpastes who will never switch.
(b)
-
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