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Name: You are interested in constructing a 95% confidence interval for the p
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Description: You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 409 randomly selected caterpillars observed, 58 lived to become butterflies. Round answers to 4 decimal pla

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 409 randomly selected caterpillars observed, 58 lived to become butterflies. Round answers to 4 decimal places where possible.

a. With 95% confidence the proportion of all caterpillars that lived to become a butterfly is between _________ and _________.

b. If many groups of 409 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About _________ percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ____________ percent will not contain the true population proportion.

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