You are interested in constructing a 9596 confidence interval for the proportion of all caterpillars that eventually become butterflies. {if the 436 randomly selected caterpillars observed, 50 lived to become butterflies. Flound answers to 4 decimal places where possible. a. 1With 95% confidence the proportion of all caterpillars That lived to become a butterfly is ....... Send :1- b. If many groups of 436 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About :1 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