Suppose that we identify a sample of women 50 to 54 years of age who have both a

Question

Suppose that we identify a sample of women 50 to 54 years of age who have both a mother and a sister with a history of breast cancer. We then observe that 16 of these women themselves have developed breast cancer at some time in their lives. Assume that the proportion of breast cancer cases in women whose mothers have had breast cancer is 8% Suppose that we then use the sample to test the hypothesis that having a sister with the disease increases the risk of breast cancer, and find the p-value to be 0.0122. What is the meaning of this p-value? (A) If having a sister with breast cancer does not increase the risk, it is very unlikely (probability 0.0122) to obtain exactly 16 cases of breast cancer in the given sample (B) The p-value of 0.0122 is the probability of making a wrong decision (C) The p-value of 0.0122 is the probability of making a Type I error. (D) If having a sister with breast cancer does increase the risk, it is very unlikely (probability 0.0122) to obtain exactly 16 cases of breast cancer in the given sample (E) If having a sister with breast cancer does increase the risk, it is very unlikely (probability 0.0122) to obtain 16 or more cases of breast cancer in the given sample (F) The p-value of 0.0122 is the probability of making a Type II error. (G) If having a sister with breast cancer does not increase the risk, it is very unlikely (probability 0.0122) to obtain 16 or more cases of breast cancer in the given sample

Explanation / Answer

Suppose that we identify a sample of women 50 to 54 years of age who have both a mother and a sister with a history of breast cancer. We then observe that 16 of these women themselves have developed breast cancer at some time in their lives. Assume that the proportion of breast cancer cases in women whose mothers have had breast cancer is 8% Suppose that we then use the sample to test the hypothesis that having a sister with the disease increases the risk of breast cancer, and find the p-value to be 0.0122. What is the meaning of this p-value? (A) If having a sister with breast cancer does not increase the risk, it is very unlikely (probability 0.0122) to obtain exactly 16 cases of breast cancer in the given sample (B) The p-value of 0.0122 is the probability of making a wrong decision (C) The p-value of 0.0122 is the probability of making a Type I error. (D) If having a sister with breast cancer does increase the risk, it is very unlikely (probability 0.0122) to obtain exactly 16 cases of breast cancer in the given sample (E) If having a sister with breast cancer does increase the risk, it is very unlikely (probability 0.0122) to obtain 16 or more cases of breast cancer in the given sample (F) The p-value of 0.0122 is the probability of making a Type II error. (G) If having a sister with breast cancer does not increase the risk, it is very unlikely (probability 0.0122) to obtain 16 or more cases of breast cancer in the given sample

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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