A dog allergy test for people has a 98% accuracy rate. Only 1% of the population has an allergy to dogs (actually it is much smaller than that). Fill in the table below by using a total population of 10,000 people.(Do not use commas.)

Test is positiveTest is negativeTotalActually has allergyDoes not have allergyTotal10,000

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Question 2

3pts

Polygraph tests have an accuracy rate of about 90% meaning a positive will indicate the person is lying. A company of 5000 employees has everyone submit to a polygraph test. It turns out there are 50 employees who will lie during their polygraph.(Do not use commas.)

Positive test resultNegative test resultTotalYou are lying50You were not lyingTotal5000

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Question 3

2pts

Using the previous question about the lie detector, answer the following as apercentagewith 2 decimal places:

If you had a negative test result, what are the chances you were actually lying?

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Question 4

2pts

Using the previous question about the lie detector, answer the following as apercentage:

If you were actually lying, what are the chances you were caught?

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Question 5

2pts

Using the previous question about the lie detector, answer the following question:

How many people out of 5000 had a false positive?

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Question 6

4pts

You may want to create a table to help you with this problem.

A rare birth defect occurs in approximately 0.5% of all cases in males. If we sample all the males born in 2016 in a specific region (200,000), fill out the chart below and answer the following questions. A test can be done with 96% accuracy to determine if a child has the birth defect.

Out of all people, what are the chances that males get a positive test result?

(Write your answer as a percentage to 2 decimals.)

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Question 7

4pts

You may want to create a table to help you with this problem.

Consider a computer test to indicate if you like Math 123 or dislike Math 123. If positive, you like the class and if negative you dislike the class. In a sample of 25 thousand people, 80% of the population indicated they liked the class. If the test is 85.5% accurate, what percent of all those who received a positive result from the computer test were correctly determined to like Math 123? Round your percentage to 2 decimals.