Problem 2: The research scenario: Do you think there might be a relationships between people’s personality and the profession they pursue? Here’s a fictional set of data that explores that question. There are two personality types in the data, ‘thinkers’ and ‘feelers.’ There are 3 professions. A chi square analysis can examine whether the proportion that is found to be thinkers overall (i.e, across all 3 professions) is similar to the proportion of thinkers among clergy, the proportion of thinkers among physicians, and the proportion of thinkers among lawyers. The following crosstab table shows the “crossed” frequencies for 2 variables: “Myers-Brigg” personality type “T” = “thinking” personality “F” = “feeling” personality “profession” clergy physician laywer Blank tables are provided for your calculations. What are the null and alternative hypotheses for the chi square test of independence? Calculate the row and column totals Calculate the expected frequencies for each “cell” Using the steps shown in the lecture and in the text, calculate the chi square to investigate whether “passed certification” and “breed of dog” are independent of each other or not. Compare your calculated chi square to the critical value of chi square per the table, using the correct degrees of freedom.

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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“Myers-Brigg” personality type “T” = “thinking” personality

“F” = “feeling” personality

“profession” clergy

physician

laywer

Blank tables are provided for your calculations.

What are the null and alternative hypotheses for the chi square test of independence?

Calculate the row and column totals

Calculate the expected frequencies for each “cell”

Using the steps shown in the lecture and in the text, calculate the chi square to investigate whether “passed certification” and “breed of dog” are independent of each other or not.

Compare your calculated chi square to the critical value of chi square per the table, using the correct degrees of freedom.

| | Clergy | Physicians | Lawyers | TOTALS |
|----------------------|--------|------------|---------|--------|
| “thinking” personality | 114 | 785 | 176 | |
| “feeling” personality | 420 | 818 | 95 | |
| TOTALS | | | | |

This table categorizes individuals in three professions—Clergy, Physicians, and Lawyers—based on whether they have a "thinking" or "feeling" personality.

- Clergy: 114 have a "thinking" personality, and 420 have a "feeling" personality.
- Physicians: 785 have a "thinking" personality, and 818 have a "feeling" personality.
- Lawyers: 176 have a "thinking" personality, and 95 have a "feeling" personality.

The table leaves the totals for each row and column uncalculated.

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