The value of mammography as a screening test for breast cancer has been controversial, particularly among young women. A study was recently performed looking at the rate of false positives for repeated screening mammograms among approximately 10,000 women who were members of Harvard Pilgrim Health Care, a large health-maintenance organization in New England. The study reported that of a total of 1996 tests given to 40-49 year old women, 156 yielded false –positives results.

Question

The value of mammography as a screening test for breast cancer has been controversial, particularly among young women. A study was recently performed looking at the rate of false positives for repeated screening mammograms among approximately 10,000 women who were members of Harvard Pilgrim Health Care, a large health-maintenance organization in New England. The study reported that of a total of 1996 tests given to 40-49 year old women, 156 yielded false –positives results. 
Some physicians feel a mammogram is not cost-effective unless one can be reasonably certain (e.g., 95% certain) that the false-positive rate is less than 10%. Can you address this issue based on the preceding data? (Hint: Use a CI approach.) PLEASE NEATLY SHOW ALL WORK!

I think it's part a) .98

part b)
 .96 to .99

Scott · Answer

google "single sample confidence interval" look at the 1st article