A manufacturer of nickel-hydrogen batteries randomly chooses 100 nickel plates for test cells, cycles them specified number of times, and determines that 20 of plates have blistered.
Does this provide compelling evidence for the concluding that more than 10% of all plates blister under such circumstances? State and test the appropriate hypotheses using significance level .05.
a) Test these hypotheses by determining z and p-value.
b) If it is really the case that 12% of all plates blister under such circumstances and a sample size 100 is used, how likely is it that the null hypothesis of part (a) will not be rejected by .05 test?
c) How many plates would have to be tested to have ß(0.12) = .10 for the test of part (a)?