You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 394 randomly selected caterpillars observed, 48 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 394 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. Hint: Hints Video [-] Submit Question

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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You are interested in constructing a 99% confidence interval for the proportion of all caterpillars
that eventually become butterflies. Of the 394 randomly selected caterpillars observed, 48 lived
to become butterflies. Round answers to 4 decimal places where possible.
a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is
between
and
b. If many groups of 394 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.
Hint: Hints
Video [-]
Submit Question
Transcribed Image Text:You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 394 randomly selected caterpillars observed, 48 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 394 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. Hint: Hints Video [-] Submit Question
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