A manufacturer of semiconductor devices takes a random sample of size n of chips and tests them, classifying each chip as defective or non-defective. Let Xi = 0 if the chip is non-defective and Xi = 1 if the chip is defective. The sample fraction defective is
What are the sampling distribution, the sample mean, and sample variance estimates of ˆp when

(a) The sample size is n = 50?
(b) The sample size is n = 80?
(c) The sample size is n = 100?
(d) Compare your answers to parts (a)€“(c) and comment on the effect of sample size on the variance of the sampling distribution.

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