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1) Let P and P, 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 P -P,. 2) Construct a 97% confidence interval for the difference between the proportions of users of the two toothpastes who will never switch.

1) Let P and P, 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 P -P,. 2) Construct a 97% confidence interval for the difference between the proportions of users of the two toothpastes who will never switch.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question ( 3 ) A researcher wanted to estimate the difference between the percentage of users of two toothpastes 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 to they will never switch to another toothpaste. 1) Let P, and P, 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 P-P,. 2) Construct a 97% confidence interval for the difference between the proportions of users of the two toothpastes who will never switch.
Transcribed Image Text:Question ( 3 ) A researcher wanted to estimate the difference between the percentage of users of two toothpastes 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 to they will never switch to another toothpaste. 1) Let P, and P, 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 P-P,. 2) Construct a 97% confidence interval for the difference between the proportions of users of the two toothpastes who will never switch.
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