Question

# Can you help me with the following problems?

Questions 1-4. A dog allergy test for people has

a 90% accuracy rate. Only 1% of the population has an allergy to dogs (actually it is much smaller than that!). Assume a major pet food manufacturer purchases this test and administers it to 1,000 employees.

1. Fill out the table below.

Test Shows Positive Test Shows Negative Total

Has Allergy

Not Allergic

Total

2. If an employee has a dog allergy, what is the probability he/she will test positive? (enter the answer as a percent rounded to the nearest tenth as needed)

3. If an employee tested positive, what is the probability he/she has a dog allergy? (enter the answer as a percent rounded to the nearest tenth as needed)

4. If an employee tested negative, what is the probability he/she has a dog allergy? (enter the answer as a percent rounded to the nearest tenth as needed)