You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 435 randomly selected caterpillars observed, 57 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 435 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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You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 435 randomly selected caterpillars observed, 57 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 435 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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