A new cold medication was tested by giving 110 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 is shown in the table. Use this information to solve parts (a) through (f) below. Cold drug Placebo Control Total Improvement 70 55 20
A new cold medication was tested by giving 110 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 is shown in the table. Use this information to solve parts (a) through (f) below. Cold drug Placebo Control Total Improvement 70 55 20
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A new cold medication was tested by giving 110 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 is shown in the table.
Use this information to solve parts (a) through (f) below.
Cold drug
|
Placebo
|
Control
|
Total
|
|
---|---|---|---|---|
Improvement
|
70
|
55
|
20
|
145
|
No improvement
|
40
|
45
|
80
|
165
|
Total
|
110
|
100
|
100
|
310
|
a. What is the probability that a randomly selected person in the study was given the placebo or was in the control group?
The probability is ?
(Round to the nearest thousandth as needed.)
(Round to the nearest thousandth as needed.)
b. What is the probability that a randomly selected person improved?
The probability is ?
(Round to the nearest thousandth as needed.)
(Round to the nearest thousandth as needed.)
c. What is the probability that a randomly selected person was given the drug and improved?
The probability is ?
(Round to the nearest thousandth as needed.)
(Round to the nearest thousandth as needed.)
d. What is the probability that a randomly selected person who improved was given the drug?
The probability is ?
(Round to the nearest thousandth as needed.)
(Round to the nearest thousandth as needed.)
e. What is the probability that a randomly selected person who was given the drug improved?
The probability is ?
(Round to the nearest thousandth as needed.)
f. Based on these data, does the drug appear to be effective? Explain.
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