Testing a drug. A new cold medication was tested by giving 100 people the drug and 100 people a placebo. A control group consisted of 100 people who were given no treatment. The number of people in each group who showed improvement in the table below. What is the probability that a randomly selected person in the study either was given the placebo or was in the control group? What is the probability that a randomly selected person improved? What is the probability that a randomly selected was given the drug and improved? What is the probability that a randomly selected person who improved was given the drug? What is the probability that a randomly selected person who was given the drug improved? Based on this data, does the drug to be effective? Explain.
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.
Testing a drug. A new cold medication was tested by giving 100 people the drug and 100 people a placebo. A control group consisted of 100 people who were given no treatment. The number of people in each group who showed improvement in the table below.
- What is the
probability that a randomly selected person in the study either was given the placebo or was in the control group? - What is the probability that a randomly selected person improved?
- What is the probability that a randomly selected was given the drug and improved?
- What is the probability that a randomly selected person who improved was given the drug?
- What is the probability that a randomly selected person who was given the drug improved?
- Based on this data, does the drug to be effective? Explain.
Please answer in the format of 1-6. or a-f would be better.
Example:
A. This is the answer for A
B. This is the answer for B, etc.
Thank you.
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