The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation E I Row Total Clergy (all denominations) 58 49 107 M.D. 65 97 162 Lawyer 55 82 137 Column Total 178 228 406 1. 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.) 2. What are the degrees of freedom
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.
| Personality Type | |||
| Occupation | E | I | Row Total |
| Clergy (all denominations) | 58 | 49 | 107 |
| M.D. | 65 | 97 | 162 |
| Lawyer | 55 | 82 | 137 |
| Column Total | 178 | 228 | 406 |
1. 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.)
2. What are the degrees of freedom?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
