Consider what you know about the sampling distribution of the sample proportion. This sampling distribution has a shape that is skewed to the right, regardless of sample size. is a collection of the parameters of all possible samples of a particular size taken from a particular population. Will become more variable as the sample size increases. will have a center equal to the population proportion, orp. Will be Normal in shape only if the sample size is at least 100 .

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16-12-2022
Mathematics

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Consider what you know about the sampling distribution of the sample proportion. This sampling distribution has a shape that is skewed to the right, regardless of sample size. is a collection of the parameters of all possible samples of a particular size taken from a particular population. Will become more variable as the sample size increases. will have a center equal to the population proportion, orp. Will be Normal in shape only if the sample size is at least 100 .

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debjitbhowal4568 debjitbhowal4568 · Answer 1 · 2022-12-24T13:59:27-05:00

As per the sampling technique, consider the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.

The sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.

Here for the given question, let us check all the given statements in the options

Here we know that the shape is approximately normal. Then the given option will be false.

Next, it is the collection of all samples taken from the population, So the given option will be false

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Now, the sample size increases, the value of n increases. where n is the value on the denominator of the equation of standard deviation.

Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.

Then the less standard deviation means a small variance.

Therefore, as a result, as the sample size grows, the variation will be minimal.

So, the center is the same as the sample proportion p.

Therefore, this is correct.

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