find (or estimate) the P-value of the sample test statistic
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.
| Occupation | Extroverted | Introverted | Row Total |
| Clergy (all denominations) | 60 | 43 | 103 |
| M.D. | 69 | 92 | 161 |
| Lawyer | 57 | 85 | 142 |
| Column Total | 186 | 220 | 406 |
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. If x2 = 8.827 and the degrees of freedom are 2, find (or estimate) the P-value of the sample test statistic.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
