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
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.