ou are P Sunɔn, aterpillars that eventually become butterflies. Of the 431 randomly selected caterpillars observed, 51 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 petween and p. If many groups of 431 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 putterflies and about percent will not contain the true population proportion.

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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 431 randomly selected caterpillars
observed, 51 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 431 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.
Transcribed Image Text:You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 431 randomly selected caterpillars observed, 51 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 431 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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