SOLUTION: A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufac

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Question 694242: A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer's claim.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer's claim.
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Ho: p >= 0.06
Ha: p < 0.06 (claim)
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p-hat = 0.05
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z(0.05) = (0.05-0.06)/sqrt(.06*0.94/97) = -0.4147
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P-value is P(z < -0.4147) = 0.3392
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Cheers,
Stan H.
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