Question

The following table shows the breakdown of men and women accepted or denied entry into a particular college.

	Men	Women
Accepted	627	122
Denied	783	363
Total	1410	485

Given someone is a man, what is the probability they will be accepted?  (Enter a decimal rounded to three decimal places.)

Given someone is a woman, what is the probability they will be accepted?  (Enter a decimal rounded to three decimal places.)

Which if the following statements is most accurate?

• A greater proportion of men are accepted than women.
• The proportion of men and women being accepted are about the same.
• A greater proportion of women are accepted than men.

Let's look at a breakdown of two different programs that the above students had applied to.

	Men		Women
	Accepted	Denied	Accepted	Denied
Program A	597	391	96	18
Program B	30	392	26	345
Total	627	783	122	363

Program A

In Program A, what is the probability that someone gets accepted, given they are a man?   (Enter a decimal rounded to three decimal places.)

In Program A, what is the probability that someone gets accepted, given they are a woman?   (Enter a decimal rounded to three decimal places.)

Which of the following statements is most accurate about Program A?

• A greater proportion of men are accepted than women.
• The proportion of men and women being accepted are about the same.
• A greater proportion of women are accepted than men.

Program B

In Program B, what is the probability that someone gets accepted, given they are a man?   (Enter a decimal rounded to three decimal places.)

In Program B, what is the probability that someone gets accepted, given they are a woman?   (Enter a decimal rounded to three decimal places.)

Which of the following statements is most accurate about Program B?

• A greater proportion of women are accepted than men.
• A greater proportion of men are accepted than women.
• The proportion of men and women being accepted are about the same.

LicenseQuestion 1. Points possible: 5
This is attempt 1 of 1.

Suppose that 1000 people are given a drug test that is 97% accurate and that 50 of the people actually are drug users. Using that information, complete the following chart (round to the nearest whole number):

	Accurate	Error	Total
Nonusers	(true negative)	(false positive)	950
Users	(true positive)	(false negative)	50
Total	970	30	1000

Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested. Then use the "accurate nonusers" value to determine the "error nonusers." Similarly, use the "accurate nonusers" value to determine the "accurate users" value. Finally, use the "accurate users" value to determine the "error users" value.

Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)?  (Round to three decimal places.)

Looking only at negative results, what is the probability of a false negative?  (round to three decimal places)

Would you consider this test to be accurate or not? Explain your reasoning fully.

Answer 1