A survey in two sites of a firm included the following question: “How effective is management in responding to legitimate grievances of workers?” The results are shown here: Number Surveyed Number Responding “Poor” Total Site 1 192 48 240 Site 2 248 80 328 Total 440 128 568 Let A be the event a worker comes from Site 1. Let B be the event the response is “poor.” a. Compute P(A ᴜ B). b. Are the events A and B independent? Support your answer with statistical proof.
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.
A survey in two sites of a firm included the following question: “How effective is management in responding to legitimate grievances of workers?” The results are shown here:
|
|
Number Surveyed |
Number Responding “Poor” |
Total |
|
Site 1 |
192 |
48 |
240 |
|
Site 2 |
248 |
80 |
328 |
|
Total |
440 |
128 |
568 |
Let A be the
a. Compute P(A ᴜ B).
b. Are the events A and B independent? Support your answer with statistical proof.
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