Lecture 18 Slides

Let D be the number of defective items in a sample X1; : : : ; X200

Type I error:

= P(reject H0 j H0 is true) = P(D 6 8 j p = 0:09) = 0:0053

Type II error:

= P(not reject H0 j Ha is true) = P(D > 8 j p = 0:05) = 0:673

Conclusion: the significance is = 0:053, the power is 1 = 0:327.

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Compare the significance and power for di erent thresholds m of the number of defective items in a sample

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