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amm1812
2 years ago
7

Suppose the true proportion of voters in the county who support a restaurant tax is 0.54. Consider the sampling distribution for

the proportion of supporters with sample size n = 168.
What is the mean of this distribution?
What is the standard error of this distribution?
Mathematics
1 answer:
Eva8 [605]2 years ago
6 0

Answer:

The correct answer is:

(a) 0.54

(b) 0.0385

Step-by-step explanation:

Given:

Restaurant tax,

p = 0.54

Sample size,

n = 168

Now,

(a)

The mean will be:

⇒ μ \hat{p}= p

         =0.54

(b)

The standard error will be:

\sigma \hat{p} = \sqrt{[\frac{p(1-p)}{n} ]}

    = \sqrt{[\frac{(0.54\times 0.46)}{168} ]}

    = \sqrt{[\frac{(0.2484)}{168} ]}

    = 0.0385

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