Question

Consider what you know about the sampling distribution of the sample proportion. This sampling distribution will?

a. become more variable as the sample size increases.
b. will be Normal in shape only if the sample size is at least 100.
c. will have a center equal to the population proportion, or p
d. has a shape that is skewed to the right, regardless of sample size.
e. is a collection of the parameters of all possible samples of a particular size taken from a particular population

Answer 1

The sampling distribution of proportion have center equal to population proportion.

As per the details share in the above question are as follow,

The details are as follow,

Only if: Is the proportion sampling distribution regularly distributed.

$\mathrm{np} > 5 \text { and } \mathrm{n}(1-\mathrm{p}) > 5$

The survey proportion's anticipated value is $\mathrm{E}(\hat{\mathrm{p}})=\mathrm{p}$.

As a result, the center of the proportional sampling distribution is equal to the population percentage.

For more such question on sampling distribution.

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