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You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that...

You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 395 randomly selected caterpillars observed, 43 lived to become butterflies. Round answers to 4 decimal places where possible.

a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and .

b. If many groups of 395 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.

Math   Statistics-And-Probability   
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a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between 0.0685 and 0.1492

b. If many groups of 395 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About 99 percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about 1 percent will not contain the true population proportion.

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