Is p an unbiased estimator for p when np > 5 and nq > 5? Recall that a statistic

Question

Is p an unbiased estimator for p when np > 5 and nq > 5? Recall that a statistic is an unbiased estimator of the corresponding parameter if the mean of the sampling distribution equals the parameter in question. ( pick one of the below

No, it is biased. The mean of the distribution is p

.No, it is biased. The mean of the distribution is .

Yes, it is unbiased. The mean of the distribution is .

Yes, it is unbiased. The mean of the distribution is

.Yes, it is unbiased. The mean of the distribution is p.

No, it is biased. The mean of the distribution is

Explanation / Answer

Given that p^ is an unbiased estimator for p when np > 5 and nq > 5.

then we know that the sampling distribution of p^(sampling proportion) is approximately normal with mean is p.

Option 5) is correct.

Yes, it is unbiased. The mean of the distribution is p

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