A sample of 88 items is taken from a population. The sample proportion is 0.52 what is the standard error of the sampling distribution round your answer to two decimal places.

0.05
0.10
0.15
0.20

1 answer

The standard error of the sampling distribution can be calculated using the formula:

Standard error = sqrt(p(1-p)/n)

where:
p = sample proportion = 0.52
n = sample size = 88

Plugging in the values:
Standard error = sqrt(0.52(1-0.52)/88) = sqrt(0.2496/88) = sqrt(0.00283636) ≈ 0.05

Therefore, the standard error of the sampling distribution is approximately 0.05.