You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 432 randomly selected caterpillars observed, 43 lived to become butterflies. Round answers to 4 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 432 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 percent will not contain the true population proportion. butterflies and about Submit Question 52°F Cloudy

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Question 22
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars
that eventually become butterflies. Of the 432 randomly selected caterpillars observed, 43 lived
to become butterflies. Round answers to 4 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 432 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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Transcribed Image Text:Question 22 You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 432 randomly selected caterpillars observed, 43 lived to become butterflies. Round answers to 4 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 432 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. Submit Question 52°F Cloudy 99+
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