The employ of optical fibers in telecommunications, the military, and industry is rising rapidly. These fibers should be strong, durable, able to operate over the wide temperature range, and insensitive to radiation. Most fiber failures are because of a brittle fractures that grows into a complete crack. Two different fiberdrawing heat sources are being studied. These are carbon furnaces as well as CO2 laster heating. A company currently employs a carbon furnace but will switch to laster heating if it can be shown that the latter technique reduces the proportion of failures by more than .02
Of 100 test fibers produced using the carbon furnaces, 5 failed, whereas only 1 of the 100 fibers produced using the laser method resulted in failure. Determine P1, P2, P1-P2. Can H0 be rejected at the (alpha = .05) level? Would you suggest the company switch production methods?