You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 355 randomly selected caterpillars observed, 48 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 b. If many groups of 355 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About C] percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about :l percent will not contain the true population proportion