ou are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 352 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 5 decimal places where possible. a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between   ?and .?  b.  If many groups of 352 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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ou are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 352 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 5 decimal places where possible.

a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between   ?and .? 

b.  If many groups of 352 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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