A study investigated whether regular mammograms resulted in fewer deaths from breast cancer over a period of 15 years. Among 30,579 women who never had mammograms, 191 died of breast cancer, while only 141 of 30,152 who had undergone screening died of breast cancer. a) Do these results suggest that mammograms may be an effective screening tool to reduce breast cancer deaths? b) If your conclusion is incorrect, which type of error did you commit?
Determine the test statistic.
z= __? (Round to two decimal places as needed.)
Find the P-value.
P=___? (Round to four decimal places as needed.)
What is the result of this hypothesis test with a level of significance of 0.05?
A. Reject the null hypothesis because there is not sufficient evidence to support the claim that screening reduces the proportion of deaths.
B. Do not reject the null hypothesis because there is not sufficient evidence to support the claim that screening reduces the proportion of deaths.
C. Reject the null hypothesis because there is sufficient evidence to support the claim that screening reduces the proportion of deaths.
D. Do not reject the null hypothesis because there is sufficient evidence to support the claim that screening reduces the proportion of deaths.
b) Determine the type of error committed if your conclusion is incorrect.
A. This cannot be determined without analysis of an actual error.
B. A Type II error could occur.
C. A Type Upper I error could occur.
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