Question

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.

Answer 1

Answer:

0.0081.

Step-by-step explanation:

Here, it is provided that the p = 0.11, n = 1500

The standard deviation of the sampling distribution can be calculated as:

Standard deviation of the sampling distribution

$\sqrt{\frac{p(1-p)}{n} } \\\sqrt{\frac{0.11(1-0.11)}{1500} } \\\\0.0081$

Hence, the required answer is 0.0081.