(b) Would you recommend a test procedure that uses a = 0.10 or one that uses a = 0.01? Explain. Use a = 0.10, as making a Type I error involves not catching the manufacturer when they are at fault. O Use a = 0.10, as making a Type II error involves not catching the manufacturer when they are at fault. O Use a = 0.01, as making a Type I error involves taking action against the manufacturer when in fact the manufacturer is not at fault. O Use a = 0.01, as making a Type II error involves taking action against the manufacturer when in fact the manufacturer is not at fault.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A television manufacturer claims that (at least) 90% of its TV sets will not need service during the first 3 years of operation. A consumer agency wishes to check this claim, so it obtains a random sample
100 purchasers and asks each whether the set purchased needed repair during the first 3 years after purchase. Let p be the sample proportion of responses indicating no repair (so that no repair
of n =
is identified with a success). Let p denote the actual proportion of successes for all sets made by this manufacturer.
The agency does not want to claim false advertising unless sample evidence strongly suggests that p < 0.9. The appropriate hypotheses are then Ho: p = 0.9 versus H: p < 0.9.
%3D
Transcribed Image Text:A television manufacturer claims that (at least) 90% of its TV sets will not need service during the first 3 years of operation. A consumer agency wishes to check this claim, so it obtains a random sample 100 purchasers and asks each whether the set purchased needed repair during the first 3 years after purchase. Let p be the sample proportion of responses indicating no repair (so that no repair of n = is identified with a success). Let p denote the actual proportion of successes for all sets made by this manufacturer. The agency does not want to claim false advertising unless sample evidence strongly suggests that p < 0.9. The appropriate hypotheses are then Ho: p = 0.9 versus H: p < 0.9. %3D
(b) Would you recommend a test procedure that uses a = 0.10 or one that uses a = 0.01? Explain.
Use a =
0.10, as making a Type I error involves not catching the manufacturer when they are at fault.
Use α
0.10, as making a Type II error involves not catching the manufacturer when they are at fault.
O Use a =
0.01, as making a Type I error involves taking action against the manufacturer when in fact the manufacturer is not at fault.
Use a =
0.01, as making a Type II error involves taking action against the manufacturer when in fact the manufacturer is not at fault.
Transcribed Image Text:(b) Would you recommend a test procedure that uses a = 0.10 or one that uses a = 0.01? Explain. Use a = 0.10, as making a Type I error involves not catching the manufacturer when they are at fault. Use α 0.10, as making a Type II error involves not catching the manufacturer when they are at fault. O Use a = 0.01, as making a Type I error involves taking action against the manufacturer when in fact the manufacturer is not at fault. Use a = 0.01, as making a Type II error involves taking action against the manufacturer when in fact the manufacturer is not at fault.
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