Question

Suppose a mechanical engineering company is interested in patenting a new device that is intended to serve as the next generation of breast cancer screening beyond mammography. A key measurement statistic for the new device is its false positive rate. Suppose the current false positive rate for mammography is 12% with a σ of 3%, and the company tests the device on a SRS of 245 patients that results in an average false positive rate of 6.5%.

A) Can we assume that the new device improves upon the false positive rate for mammography? (Use α=0.05)

B) State and interpret your results

Answer 1

ch quoi we know population Standard deviation we can use Standard Normal z table to conduct the test Ho: M = 0.12 Hai H <0.12 (as fauve positie will Improve If detecting false positive will go down) Test statistic z = (sample s.d/in N=245 clained: 0.12 Mean-Claimed mean Sample Man = 0.065 sed=0.03 iz:-28.69620 From Z-Table 2 P(ZL - 28.69) P-value <0.0001 3) There is sufficient eundence to reject the Nun Hypothers that the Aug false positive result for the new screening method is equal to 0.12 The new The new screening has a reuch lower false positie rate based on the results from the sampple. Hence reject wurl Hypotturis (Ho) as pee we CS Scanned with CamScanner