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Name: Assume that a sample is used to estimate a population proportion p. Fi
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Description: Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence interval for a sample of size 383 with 77% successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal p

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence interval for a sample of size 383 with 77% successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places.

Expert Solution

Step 1

From the given information, let X be the number of successes.

Let n be the total number items in the sample. n = 383.

Let be the sample proportion of successes.

The given confidence level is,

The level of significance is,

Step 2

Use the following formula to compute the 95% confidence interval for the proportion:

Here, is the critical value.

Compute the critical value using Excel.

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