Recent news articles have discussed the connection between a rare genetic mutation and breast cancer in women. One of the companies offering this BRCA genetic test is Quest, and this company claims a 97.5% accuracy rate. Only 200 women out of every 100,000 woman carry the BRCA genetic mutation.Fill in the table using a sample population of 100,000 women.

1.Fill in the table. Round to whole numbers.

Test is Positive

Test is Negative

Total

Have the BRCA gene

Do not have the BRCA gene

Total

2.If you test positive, what is the probability that you have the BRCA gene? Round to 1 decimal place.

3.If you test negative, what is the probability that you have the BRCA gene? Round to 3 decimal places.

4.If you test negative but do have the BRCA gene, what is this type of test result called?

5.If you test positive, what is the probability you do not have the gene?Round to 1 decimal place.

6.When testing for the BRCA gene, which test is worse a false positive or a false negative? Explain why. Be sure to quantify your answer (use numbers).