SOLUTION: A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 100 such fax machines, 5% are defective.Find the p-value for testing the manufactu

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Question 838517: A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 100 such fax machines, 5% are defective.Find the p-value for testing the manufacturer's claim.
The correct answer for the test statistic is -.421 and the p-value is .34
I'm asking for the step-by-step process in getting these two

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 100 such fax machines, 5% are defective.
Find the p-value for testing the manufacturer's claim.
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Ho: p >= 0.06
Ha: p < 0.06 (claim)
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z(0.05) = (0.05-0.06)/sqrt(0.06*0.04/100) = -2.0412
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p-value = P(z < -2.0412) = normalcdf(-100,-2.0412) = 0.0206
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The correct answer for the test statistic is -.421 and the p-value is .34
I'm asking for the step-by-step process in getting these two
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Comment: As you can see, -0.421 is not the test stat, and 0.34
is not the p-value.
Cheers,
Stan H.