Final answer:
The standard deviation of the sampling distribution of the proportion is approximately 0.0181
Step-by-step explanation:
To find the standard deviation of the sampling distribution of the proportion, we can use the formula:
Standard deviation = sqrt((p * (1 - p)) / n)
Where p is the proportion and n is the sample size. In this case, p = 0.19 and n = 300. Plugging in these values into the formula, we get:
Standard deviation = sqrt((0.19 * (1 - 0.19)) / 300) ≈ 0.0181
Therefore, the standard deviation of the sampling distribution of the proportion is approximately 0.0181.