Answered: Isabel Myers was a pioneer in the study…

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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Isabel Myers was a pioneer in the study of personality types. She identified four basic personality preferences that are described at length in the book Manual: A Guide to the Development and Use of the Myers-Briggs Type Indicator, by Myers and McCaulley.† Marriage counselors know that couples who have none of the four preferences in common may have a stormy marriage. A random sample of 371 married couples found that 293 had two or more personality preferences in common. In another random sample of 567 married couples, it was found that only 21 had no preferences in common. Let p₁ be the population proportion of all married couples who have two or more personality preferences in common. Let p₂ be the population proportion of all married couples who have no personality preferences in common.

(a) Find a 99% confidence interval for p₁ – p₂. (Round your answers to three decimal places.)

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