Question: You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 440 randomly selected caterpillars

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 440 randomly selected caterpillars observed, 51 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 betweenand.

b.If many groups of 440 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. AboutCorrect

percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and aboutCorrect

percent will not contain the true population proportion.

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