In: Statistics and Probability
A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let P denote the proportion in the sample who say they support the increase. Suppose that 11% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is..? Round your answer to four decimal places.
n = 1500
p = 0.11
Standard deviation of the sampling distribution = sqrt(p * (1 - p) / n)
= sqrt(0.11 * (1 - 0.11) / 1500)
= 0.0081 (ans)