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1. Only 1 in 1000 women under the age of 35 who participate in routine screening have breast cancer. ?5% of women with breast cancer
1. Only 1 in 1000 women under the age of 35 who participate in routine screening have breast cancer. ?5% of women with breast cancer will correctly get a aositive result. 15% of women without breast cancer will also get a positive result (false positives}. Fill in the following table for 10,000 women total. Hint: If 1 in 1mm women have breast cancer, how many of the 10,000 women have breast cancer? Fill in the upper righthand cell of the table rst. Positive Result Negative result Total Has Cancer "ries 0,.I'3 Tries 0B Tries WI] :|: E Tries 01'3 Ei Tries 0B Does NOT have Cancer "ries 0f3 Egg Tries 0f3 2. a. What is the chance that a woman has breast cancer given she gets a postive test result? Write your answer as a fraction {NET a decimal) between I] and 1. pm... I w = : Tries 01'3 b. P(Cancer] = I I Hint: This is given to you at the start of the problem. ._ m I my = Z Hint: This is also given to you, just enter it as a fraction. I]. Find P(+} and enter your answer as a fraction. (Do not include any commas in your answer} m: = : EH; Tries 013 3. A woman gets a negative test result. What is the chance that she really has breast cancer? In other words, what is P{Cancer | -]? Write your answer as a fraction {NOT a decimal) between I] and 1. Tries 01'3 Next, do the same problem as above, but enter your answer as a percent rounded to 2 decimal places {the answer will be the same, just enter it as a percent instead of a flaction) \\:| % {Do not enter % sign.)
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