192k views
4 votes
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?​

1 Answer

2 votes

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.

User Hortman
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.