Question

In a particular county, 40% of residents own homes. For samples of size n=600, consider the...

In a particular county, 40% of residents own homes. For samples of size n=600, consider the sampling distribution of the sample proportion ("phat") of residents who own homes.

The standard deviation of the sampling distribution of the sample proportion is __________ .

Group of answer choices

.4

.6

None of the other choices represent a suitable response.

.24

.02

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution

Given that,

p = 0.4

1 - p = 1 - 0.4 = 0.6

n = 600

The mean of the sampling distribution of proportion is ,

= p = 0.4

The standard deviation of the sampling distribution is ,  

=  p ( 1 - p ) / n

=   (0.4 * 0.6) /600 = 0.02

= 0.02

The standard deviation of the sampling distribution of the sample proportion is 0.02

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