3. Early Detection of Breast Cancer Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a community public health department instituted a screening program to provide for the early detection of breast cancer and to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were periodically screened by the program and who were diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. a. If you wish to detect whether the community screening program has been effective, state the null hypothesis that should be tested. b. State the alternative hypothesis. c. If 164 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a- 0.05 and explain the practical conclusions from your test. d. Find the p-value for the test and interpret it.

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3. Early Detection of Breast Cancer Of those women who are diagnosed to have early-stage breast cancer, one-third
eventually die of the disease. Suppose a community public health department instituted a screening program to
provide for the early detection of breast cancer and to increase the survival rate p of those diagnosed to have the
disease. A random sample of 200 women was selected from among those who were periodically screened by the
program and who were diagnosed to have the disease. Let x represent the number of those in the sample who
survive the disease.
a. If you wish to detect whether the community screening program has been effective, state the null
hypothesis that should be tested.
b. State the alternative hypothesis.
c. If 164 women in the sample of 200 survive the disease, can you conclude that the community screening
program was effective? Test using a= 0.05 and explain the practical conclusions from your test.
Find the p-value for the test and interpret it.
d.
Transcribed Image Text:3. Early Detection of Breast Cancer Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a community public health department instituted a screening program to provide for the early detection of breast cancer and to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were periodically screened by the program and who were diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. a. If you wish to detect whether the community screening program has been effective, state the null hypothesis that should be tested. b. State the alternative hypothesis. c. If 164 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a= 0.05 and explain the practical conclusions from your test. Find the p-value for the test and interpret it. d.
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