1. You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 447 randomly selected caterpillars observed, 46 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 447 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.

2. Out of 600 people sampled, 414 preferred Candidate A. Based on this, estimate what proportion of the entire voting population (p) prefers Candidate A.

Use a 90% confidence level, and give your answers as decimals, to three places.

__________< pp < ________

3.