You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 381 randomly selected caterpillars observed, 43 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 381 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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.