Question: A manufacturer of barometers believes that the production process yields 2.2% defectives. In a random sample of 250 barometers, 7 are defective.
a. To test whether the manufacturer's belief is confirmed by this sample, calculate the PROB-VALUE for a test of hypothesis of H0: π = .022.
b. At which of the following significance levels will the null hypothesis be rejected? (i) 0.20, (ii) 0.10, (iii) 0.05, (iv) 0.01, (v) 0.001.