Construct and use a Two-Way Table to solve the following: • A Pap smear is a tes

Question

Construct and use a Two-Way Table to solve the following: • A Pap smear is a test that can detect cervical cancer. • According to a study published in Scientific American, the probability that a woman has cervical cancer is .00008. • The chance that a Pap smear test will incorrectly come back positive, indicating that a woman without cervical cancer has cervical cancer is .03.

a) What is the probability that a randomly chosen woman who has this test (Pap smear) will both be free of cervical cancer and test positive.

b) Give a statement to interpret your answer.

Explanation / Answer

Ans:

From given data:

P(positive/no cancer)=0.03

P(positive and no cancer)/P(no cancer)=0.03

P(no cancer)=1-0.00008=0.99992

P(positive and no cancer)=0.03*0.99992=0.029998

(Note:P(positive/cancer) is required to calculate other entries.)

a)P(negative/no cancer)=1-P(positive/no cancer)=1-0.03=0.97

P(negative and no cancer)=0.97*0.99992=0.969922

b)Probability that a randomly selected women has no cervical cancer and test negative is 0.969922

Cancer No cancer Marginal positive 0.029998 negative 0.969922 Marginal= 0.00008 0.99992

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.