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Mathematics, 05.12.2019 04:31 ejsteel2

Amanufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered.

(a) does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances? state and test the appropriate hypotheses using a significance level of .05. in reaching your conclusion, what type of error might you have committed?

(b) if it is really the case that 15% of all plates blister under these circumstances and a sample size 100 is used, how likely is it that the null hypothesis of part (a) will not be rejected by the 0.05 test? answer this question for a sample size of 200.

(c) how many plates would have to be tested to have \(\beta(.15)\) = 0.10 for the test of part (a)?

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