Radioactive fallout from testing atomic bombs drifted across a region. There were 220 people in the region at the time and 47 of them eventually died of cancer. Cancer experts estimate that one would expect only about 31 cancer deaths in a group this size. Assume the sample is a typical group of people.

a) Is the death rate observed in the group unusuallyhigh?

b) Does this prove that exposure to radiation increases the risk ofcancer?

a) Are the assumptions and the conditions to perform aone-proportion z-testmet? Yes or No

State the null and alternative hypotheses. Choose the correct answer below.

A.

H0: p=0.1292

HA: p<0.1292

B.

H0: p=0.1292

HA: p0.1292

C.

H0: p=0.1292

HA: p>0.1292

D. The assumptions and conditions are notmet, so the test cannot proceed.

Determine thez-test statistic. Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A. z= ________ (Round to two decimal places asneeded.)

B. The assumptions and conditions are notmet, so the test cannot proceed.

Find theP-value. Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

P-value= _________(Round to four decimal places asneeded.)

B. The assumptions and conditions are notmet, so the test cannot proceed.

Is the observed death rate unusuallyhigh? Choose the correct answer below.

A. TheP-value is lowenough to conclude that the death rate is unusually high.

B. TheP-value is toohigh to conclude that the death rate is unusually high.

C. TheP-value is high enough to conclude that the death rate is unusually high.

D. The assumptions and conditions are notmet, so the test cannot proceed.

b) Does this prove that exposure to radiation increases the risk ofcancer? Choose the correct answer below.

A. Whether the death rate by cancer is unusually high ornot, the cause cannot be determined.

B. Yes, there is sufficient evidence to conclude that exposure to radiation increases the risk of cancer.

C. No, there is insufficient evidence to conclude that exposure to radiation increases the risk of cancer.

D. The assumptions and conditions are notmet, so the test cannot proceed.