In a random sample of 85 automobile engine crank shaftbearings, 10 have a surface finish roughness that exceeds thespecifications. Does this data present strong evidence that theroughness proportion of crankshaft bearings exhibiting excesssurface roughness exceeds 0.10? (a) State and test the appropriate hypothesis using α =0.05.
(b) If it is really the situation that p = 0.15, how likely is itthat the test procedure in part (a) will reject the nullhypothesis?
(c) If p = 0.15, how large would the sample size have to be for usto have a probability of correctly rejecting the null hypothesis of0.9?