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Q: 21 Thanks! Use the following results from a test for marijuana use. which is

ID: 3267456 • Letter: Q

Question

Q: 21 Thanks!

Use the following results from a test for marijuana use. which is provided by a certain drug testing company. Among 142 subjects with positive test results, there are 21 false positive results. Among 152 negative results, there are 2 false negative results Complete parts (a) through (c). a. How many subjects were included in the study? The total number of subjects in the study was b. How many subjects did not use marijuana? A total of subjects did not use marijuana. c. What is the probability that a randomly selected subject did not use marijuana? The probability that a randomly selected subject did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.)

Explanation / Answer

a)

The total number of subjects that were included in the study is 142+152= 294.

b)

Among 142 positive test results, 21 were false positive results. So, 21 people out of this group did not use marijuana.

Among 152 negative test results, 2 were false negative results. So, 150 people out of this group did not use marijuana.

So, total number of people who did not use marijuana is 21+150= 171

c)

P( randomly selected individual did not use marijuana )= Number of people who did not use marijuana / Total number of people = 171/294= 0.582