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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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 botaken 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?
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 botaken 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?
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