A study investigated whether regular mammograms resulted in fewer deaths from breast cancer over a period of 16 years. Among 30,547 women who never had mammograms, 191 died of breast cancer, while only 155 of 30,290 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? a) Let p 1

be the proportion of deaths for women who had never had a mammogram and p 2

be the proportion of deaths for women who had undergone screening. Choose the correct null and alternative hypotheses below. A. H 0

:p 1

−p 2

=0 B. H 0

:p 1

−p 2

=0 H A

:p 1

−p 2


=0 H A

:p 1

−p 2

>0 C. H 0

:p 1

−p 2

>0 D. H 0

:p 1

−p 2


=0 H A

:p 1

−p 2

<0 H A

:p 1

−p 2

=0 Determine the test statistic. z= (Round to two decimal places as needed.)