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Suppose 378 of 600 voters support a Presidential candidate. What is thevariance of the sampling distribution of the proportion?

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Suppose 378 of 600 voters support a Presidential candidate. What is the
variance of the sampling distribution of the proportion?
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Suppose 378 of 600 voters support a Presidential candidate. What is the variance of the sampling distribution of the proportion?

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Step 1

Variance of the sampling distribution of the proportions:

Consider p-hat as the sample proportion and n as the sample size. If the above statistics are known, then the variance of the sampling distribution of the proportions is obtained using the formula given below:

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Step 2

Obtain the sample proportion:

It is given that among a sample of 600 voters, 378 voters support a Presidential candidate.

Total number voters is n = 600.

The number of voters support a Presidential candidate is x = 378.

The sample proportion of voters support a Presidential candidate is obtained as follows:

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Step 3

Variance of the sampling distribution of the proportions:

Here, p-hat = 0.63 and n = 600.

The variance of ...

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