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Statistics / Fundamentals of Statistics 4 / Chapter 9.1 / Problem 16AYU

Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III

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Solved: Construct a confidence interval of the population

Chapter 5, Problem 16AYU

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QUESTION:

In Problems 15-20, construct a confidence interval of the population proportion at the given level of confidence.

x = 80, n = 200, 98% confidence

Questions & Answers

QUESTION:

In Problems 15-20, construct a confidence interval of the population proportion at the given level of confidence.

x = 80, n = 200, 98% confidence

ANSWER:

Problem 16AYU

Answer:

Step1:

We have x = 80, n = 200,we need to Construct a confidence interval of the population proportion at the 98% level of confidence.confidence interval of the population proportion is calculated by using the formula $\widehat{p}\pm{}{Z}^{*}(\sqrt{\frac{\widehat{p}(1-\widehat{p})}{n}})$ ,

Where,p = population estimator

$\widehat{p}$ = sample estimator

n = sample size and

${Z}^{*}$ = The value of the z∗ multiplier is dependent on the level of confidence.

Now,

$\widehat{p}$ = $\frac{x$

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