2.Beryllium disease: Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure < 1 1 to < 5 ≥ 5 Diseased 10 8 23 Sensitized 9 19 11 Normal 70 136 206 Test the hypothesis of independence. Use the α = 0.01 level of significance. What do you conclude?
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.
12.Beryllium disease: Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows:
|
Duration of Exposure |
||
---|---|---|---|
< 1 |
1 to < 5 |
≥ 5 |
|
Diseased |
10 |
8 |
23 |
Sensitized |
9 |
19 |
11 |
Normal |
70 |
136 |
206 |
Test the hypothesis of independence. Use the α = 0.01 level of significance. What do you conclude?
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