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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.

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.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.5: Choosing A Data Display
Problem 18E
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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.

 

 

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

 

  1. Calculate the row and column totals

 

  1. Calculate the expected frequencies for each “cell”

 

  1. 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.

 

  1. 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
Transcribed Image Text:Clergy Physicians Lawyers TOTALS "thinking" personality 114 785 176 "feeling" personality 420 818 95 TOTALS
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