Question

If we have a sample size of 100 and the estimate of the population proportion is .10, the standard deviation of the sampling distribution of the sample proportion is:

A) 0.0009
B) 0.03
C) 0.3
D) 0.01
E) 0.10

Answer 1

The standard deviation of the sampling distribution of the sample proportion is 0.03.

Step-by-step explanation:

The standard deviation of the sampling distribution of the sample proportion can be calculated using the formula:

Standard deviation = sqrt( (p * (1 - p)) / n )

where p is the estimate of the population proportion and n is the sample size.

In this case, the estimate of the population proportion is 0.10 and the sample size is 100. Plugging these values into the formula:

Standard deviation = sqrt( (0.10 * (1 - 0.10)) / 100 ) = sqrt(0.009) = 0.03

So, the standard deviation of the sampling distribution of the sample proportion is 0.03.