A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 139 items, the defect rate is 8.7% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 1% level of significance, use the critical value method to test the manager's claim. Enter the smallest critical value. (Round your answer to nearest thousandth.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 139 items, the defect rate is 8.7% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 1% level of significance, use the critical value method to test the manager's claim.

Enter the smallest critical value. (Round your answer to nearest thousandth.)

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