Question

A surgical tools manufacturing company claims that 95% of their product confirms to specifications. A sample of 100 items when examined revealed that 10 items were defective. Test the claim of the company at 5% level of significance.

Answer 1

Answer:

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.