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Solution: Construct a confidence interval of the population

Chapter 5, Problem 18AYU

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QUESTION:

Problem 18AYU

Construct a confidence interval of the population proportion at the given level of confidence.

 x = 400, n = 1200, 95% confidence

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QUESTION:

Problem 18AYU

Construct a confidence interval of the population proportion at the given level of confidence.

 x = 400, n = 1200, 95% confidence

ANSWER:

Problem 18AYU

Answer:

Step1: 

We have  x = 400, n = 1200, confidence interval of the population proportion at the 95% level of confidence.confidence interval of the population proportion is calculated by using the formula , 

Where,p = population estimator

           = sample estimator

           n = sample size and

         = The value of the z∗ multiplier is dependent on the level of confidence.

Now,

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