Answered: The 95% confidence interval for the…

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

A relief fund is set up to collect donations for the families affected by recent storms. A random sample of 400 people shows that 56 of those 200 who were contacted by telephone actually made contributions compared to only 36 of the 200 who received first class mail requests.

The 95% confidence interval for the difference in the proportions of people who make donations if contacted by telephone or first class mail is (round each answer to 4 places after the decimal):

lower end =

higher end =

Is there significant statistical evidence that the percent of people who were contacted by telephone and made a contribution is larger than the percent of people who received first class mail requests and made a contribution?

This interval contains all negative numbers, indicating that there is sufficient evidence to conclude that the percent of people who made a contribution after receiving first class mail requests is greater than the percent of people who made a request after being contacted by telephone.

This interval contains all positive numbers, indicating that there is sufficient evidence to conclude that the percent of people who made a contribution after being contacted by telephone is greater than the percent of people who made a contribution after receiving first class mail requests.

This interval contains zero, indicating that there is not sufficient evidence to conclude that the percent of people who made a contribution after being contacted by telephone is greater than the percent of people who made a contribution after receiving first class mail requests.

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