Question

Suppose the true proportion of voters in the county who support a new fire district is...

Suppose the true proportion of voters in the county who support a new fire district is 0.61. Consider the sampling distribution for the proportion of supporters with sample size n = 136.

What is the mean of this distribution?

What is the standard deviation of this distribution?   

Math   Statistics-And-Probability   
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Answer #1

Solution

Given that,

p = 0.61

1 - p = 1 - 0.61 = 0.39

n = 136

The mean of the sampling distribution of proportion is ,

= p = 0.61

The standard deviation of the sampling distribution is ,  

=  p ( 1 - p ) / n

=   (0.61 * 0.39) / 136 = 0.0418

= 0.0418

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