Identify all of the correct statements The disribution of estimates of a proport

Question

Identify all of the correct statements The disribution of estimates of a proportion is always normal. The standard error of the sampling distribution of a proportion is directly proportional to the square root of the sample size. If the product of the sample size and the population proportion is greater than 10, we can assume that the sampling distribution of the proportion is normal. If we increase the sample size used in estimating a proportion by factor of 4, we will decrease the standard error of the sampling istribution by a factor of 2.

Explanation / Answer

The distribution of estimation of a proportion is always normal : This statement is true by Central limit theorem.

The standard error of the sampling distribution proportion is directly proportional to the square root of the sample population : False. It is inversely proportional.

If the product of the sample size and the population proportion is greater than 10, we can assume sampling distribution of the proportion is normal : False. The value of n(1-p) should also be greater than 10.

If we increase the sample size used in estimating a proportion by a factor of 4, we will decrease the standard error of the sampling distribution by a factor of 2.

True. The standard error is inversely proportional to square root of the sample size.

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