The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type OccupationTFRow TotalClergy (all denominations)5395148M.D.7386159Lawyer12488212Column Total250269519 a. Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)b.What are the degrees of freedom?

Introduction - Chi square test χ2=∑Oi-Ei2EiWhere , Oi=Observed frequency Ei=Expected frequency…

Answered: The following table shows 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

The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling.

	Personality Type
Occupation	T	F	Row Total
Clergy (all denominations)	53	95	148
M.D.	73	86	159
Lawyer	124	88	212
Column Total	250	269	519

a. Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

b.What are the degrees of freedom?

Expert Solution

Step 1

Introduction -

$C h i s q u a r e t e s t χ^{2} = \sum_{} \frac{{(O_{i} - E_{i})}^{2}}{E_{i}} W h e r e, O_{i} = O b s e r v e d f r e q u e n c y E_{i} = E x p e c t e d f r e q u e n c y$