SOLUTION: A manufacturer claims that at least 95% of the equipment that she supplied to a
factory confirmed to the specification. An examination of a sample of 200 pieces
of equipment reve
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factory confirmed to the specification. An examination of a sample of 200 pieces
of equipment reve
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Question 999082: A manufacturer claims that at least 95% of the equipment that she supplied to a
factory confirmed to the specification. An examination of a sample of 200 pieces
of equipment revealed 18 were faulty. Test for her claim at levels of significance (a)
0.01 and (b) 0.05
You can put this solution on YOUR website! A manufacturer claims that at least 95% of the equipment that she supplied to a
factory conformed to the specification. An examination of a sample of 200 pieces
of equipment revealed 18 were faulty. Test for her claim at levels of significance
(a) 0.01
Ho: p >= 0.95 (claim)
Ha: p < 0.95
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p-hat = 182/200 = 0.91
z(0.41) = (0.91-0.95)/sqrt[0.95*0.05/200] = -0.04/sqrt[0.95*0.05/200]
= -2.5955
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p-value = P(z < -2.5955) = 0.0047
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Conclusion: Since the p-value is less than 1%, reject Ho ; reject the claim.
(b) 0.05
Conclusion:: Since the p-value is less than 5%, reject Ho ; reject the claim.
Cheers,
Stan H.
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