Question

In: Statistics and Probability

Answer the folloing… Drug Testing A company has 20,000 employees to drug test. We are going...

Answer the folloing…

Drug Testing

A company has 20,000 employees to drug test. We are going to assume there are 500 actively using illegal drugs. The drug test they are going to administer is 95% accurate.

Test is Positive

Test is Negative

Total

Actively Using

Not Using

Total

20,000

If someone tests positive for drugs, what is the probability the person is actually NOT taking drugs?

If someone tests negative for drugs, what is the probability the test is wrong?

According to WEBMD home pregnancy tests are about 99% accurate, if you do the test first thing in the morning.

Let’s take a look at 1000 women who take a home pregnancy test. We are going to assume that 30% of them are actually pregnant.

  

Test is Positive

Test is Negative

Total

Actually Pregnant

Not Pregnant

Total

1000

What is the probability for someone who is pregnant will receive a positive test?

What is the probability of someone not being pregnant even though they have a positive test result?

If someone receives a negative test result, what is the probability they are actually pregnant?

create a tree diagram for the same scenarios and respond to the questions below

Drug Testing

A company has 20,000 employees to drug test. We are going to assume there are 500 actively using illegal drugs. The drug test they are going to administer is 95% accurate.

According to WEBMD home pregnancy tests are about 99% accurate, if you do the test first thing in the morning.

Let’s take a look at 1000 women who take a home pregnancy test. We are going to assume that 30% of them are actually pregnant.

Solutions

Expert Solution

thank you.


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