If all possible samples of the same (large) size are selected from a population, what percentage...

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If all possible samples of the same (large) size are selected from a population, what percentage...

If all possible samples of the same (large) size are selected from a population, what percentage of all sample proportions will be within 2.1 standard deviations of the population proportion? Round your answer to two decimal places.

math Statistics-And-Probability

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Answer 1

Answer #1

Solution:

We know that the sampling distribution of the sample proportions follow approximately normal distribution.

Here, we have to find P(-2.1<Z<2.1)

P(-2.1<Z<2.1) = P(Z<2.1) - P(Z<-2.1)

P(-2.1<Z<2.1) = 0.982136 - 0.017864

(by using z-table)

P(-2.1<Z<2.1) = 0.964272

Required percentage = 96.43%

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Answer 2

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If all possible samples of the same (large) size are selected from a population, what percentage...

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