Problem #3: (a) Suppose that we identify 152 women 50 to 54 years of age who have both a mother and a sister with a history Problem #3(a): of breast cancer. 16 of these women themselves have developed breast cancer at some time in their lives. If we assume that the proportion of breast cancer cases in women whose mothers have had breast cancer is 8%, does having a sister with the disease increase the risk? Find the p-value. (b) At the 2% significance level, what is the conclusion of the above hypothesis test? p-value (correct to 4 decimals) (A) We cannot conclude that having a sister with the disease increases the risk since the p-value is less than .01 (B) We cannot conclude that having a sister with the disease increases the risk since the p-value is less than 0.02 (C) We cannot conclude that having a sister with the disease increases the risk since the p-value is greater or equal to 0.02 (D) We conclude that having a sister with the disease increases the risk since the p-value is less than .01 (E) We cannot conclude that having a sister with the disease increases the risk since the p-value is greater or equal to .01 (F) We conclude that having a sister with the disease increases the risk since the p-value is less than 0.02 (G) We conclude that having a sister with the disease increases the risk since the p-value is greater than or equal to .01 (H) We conclude that having a sister with the disease increases the risk since the p-value is greater than or equal to 0.02

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Problem #3: (a) Suppose that we identify 152 women 50 to 54 years of age who have both a mother and a sister with a history
Problem #3(a):
of breast cancer. 16 of these women themselves have developed breast cancer at some time in their lives. If we
assume that the proportion of breast cancer cases in women whose mothers have had breast cancer is 8%, does
having a sister with the disease increase the risk? Find the p-value.
(b) At the 2% significance level, what is the conclusion of the above hypothesis test?
p-value (correct to 4 decimals)
(A) We cannot conclude that having a sister with the disease increases the risk since the p-value is less than .01
(B) We cannot conclude that having a sister with the disease increases the risk since the p-value is less than 0.02
(C) We cannot conclude that having a sister with the disease increases the risk since the p-value is greater or equal
to 0.02
(D) We conclude that having a sister with the disease increases the risk since the p-value is less than .01
(E) We cannot conclude that having a sister with the disease increases the risk since the p-value is greater or equal
to .01
(F) We conclude that having a sister with the disease increases the risk since the p-value is less than 0.02
(G) We conclude that having a sister with the disease increases the risk since the p-value is greater than or equal to
.01
(H) We conclude that having a sister with the disease increases the risk since the p-value is greater than or equal to
0.02
Transcribed Image Text:Problem #3: (a) Suppose that we identify 152 women 50 to 54 years of age who have both a mother and a sister with a history Problem #3(a): of breast cancer. 16 of these women themselves have developed breast cancer at some time in their lives. If we assume that the proportion of breast cancer cases in women whose mothers have had breast cancer is 8%, does having a sister with the disease increase the risk? Find the p-value. (b) At the 2% significance level, what is the conclusion of the above hypothesis test? p-value (correct to 4 decimals) (A) We cannot conclude that having a sister with the disease increases the risk since the p-value is less than .01 (B) We cannot conclude that having a sister with the disease increases the risk since the p-value is less than 0.02 (C) We cannot conclude that having a sister with the disease increases the risk since the p-value is greater or equal to 0.02 (D) We conclude that having a sister with the disease increases the risk since the p-value is less than .01 (E) We cannot conclude that having a sister with the disease increases the risk since the p-value is greater or equal to .01 (F) We conclude that having a sister with the disease increases the risk since the p-value is less than 0.02 (G) We conclude that having a sister with the disease increases the risk since the p-value is greater than or equal to .01 (H) We conclude that having a sister with the disease increases the risk since the p-value is greater than or equal to 0.02
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