Question

A marketing researcher for a phone company surveys 300 people and finds that the proportion of clients who are likely to switch providers when their contract expires is 0.19.

​a) What is the standard deviation of the sampling distribution of the​ proportion?​

Answer 1

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.