50 patients with hair loss are given a new drug, and 40 other patients are just given a placebo. 35 of the patients who got the drug report improvement of their condition. 25 of the patients who got the placebo report improvement. This sort of thing is better represented in a table. What is the probability that a random patient from this group reported improvement, given that they got the placebo? (You do not need all of the information here - often the case in a realistic situation). Number of patients given drug/placebo who report improvement/no improvement Treatment Drug Placebo Improvement 35 25 No Improv. 15 15 Total 50 40 a. 62.5% b. 25% c. 35% d. 50%
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.
50 patients with hair loss are given a new drug, and 40 other patients are just given a placebo. 35 of the patients who got the drug report improvement of their condition. 25 of the patients who got the placebo report improvement. This sort of thing is better represented in a table.
What is the probability that a random patient from this group reported improvement, given that they got the placebo? (You do not need all of the information here - often the case in a realistic situation).
| Treatment | Drug | Placebo |
|---|---|---|
| Improvement | 35 | 25 |
| No Improv. | 15 | 15 |
| Total | 50 | 40 |
Given:
| Treatment | Drug | Placebo |
|---|---|---|
| Improvement | 35 | 25 |
| No Improv. | 15 | 15 |
| Total | 50 | 40 |
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