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A 95% confidence interval for a population proportion p is found to be (0.52, 0.58). What...

A 95% confidence interval for a population proportion p is found to be (0.52, 0.58). What does this mean?

A. There is a 95% probability that the actual value of p is between 52% and 58%.

B. If many simple random samples of the same size were taken from the population, and a confidence interval were constructed for each one, then about 95% of them would contain the actual value of p.

C. 95% of all sample proportions are between 0.52 and 0.58.

D. The standard deviation of the sampling distribution is 0.03.

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Solution :

Given that ,

A 95% confidence interval for a population proportion p is found to be (0.52, 0.58) .

This means that ,

If many simple random samples of the same size were taken from the population, and a confidence interval were constructed for each one, then about 95% of them would contain the actual value of p.

B)

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