1, You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 400 randomly selected caterpillars observed, 48 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 betweenand.

b.If many groups of 400 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. Aboutpercent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and aboutpercent will not contain the true population proportion.

2, We wish to estimate what percent of adult residents in a certain county are parents. Out of 200 adult residents sampled, 184 had kids. Based on this, construct a 90% confidence interval for the proportion p of adult residents who are parents in this county.

Express your answer in tri-inequality form. Give your answers as decimals, to three places.

< p

p =

3, In a recent poll, 520 people were asked if they liked dogs, and 11% said they did. Find the Margin of Error for this poll, at the 90% confidence level. Give your answer to four decimal places if possible.

4, Assume that a sample is used to estimate a population proportionp. Find the 98% confidence interval for a sample of size 144 with 52 successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places.

<p<

5, Assume that a sample is used to estimate a population proportionp. Find the 90% confidence interval for a sample of size 165 with 82% successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places.

<p<

6, Express the confidence interval7.6%

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