Suppose the adult unemploymentrate of a city is 4.8%. If you had taken a survey of 100 adult and constructed a 95% confidence interval for the proportion of unemployed adults, which of the following would have been true? The interval would have contained 4.8%. The center of the interval would have been 4.8%. Increasing the sample size would have ensured capturing 4.8%. Approximately 95% of similarly constructed intervals would have captured 4.8%.

You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 390 randomly selected caterpillars observed, 60 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 390 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.

A random sample of 318 students from a large college were asked if they are planning to visit family during Thanksgiving break. Based on this random sample, a 99% confidence interval for the proportion of all students at this college who plan to visit family during Thanksgiving break is 0.78 to 0.98. Which of the following is the correct interpretation of the confidence interval? options: We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students at this college who plan to visit family during Thanksgiving break.   We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students in this sample who plan to visit family during Thanksgiving break.   We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students at this college who said they plan to visit family during Thanksgiving break.   None of these is correct.

When constructing a 90% confidence interval around a sample mean, how many samples out of 100 would you expect to not include the true population mean within their confidence intervals?   a. 5 b. 1 c. 0 d. 10

Siblings Mary and David are each attempting to estimate the proportion of families in their neighborhood who have five or more children. Mary selects a random sample of 50 families to survey, and she observes a sample proportion of 0.10. David selects a random sample of 100 families to survey, and he also observes a sample proportion of 0.10. Mary and David each use their sample data to construct a 95% confidence interval. Who will have the more narrow confidence interval? A. Both intervals will have the same width since the sample proportions are the same. B. Both intervals will have the same width since the level of confidence is the same for each interval. C. Both intervals will have the same width since the sample proportions are the same and the level of confidence is the same for each interval. D. Mary's interval will be more narrow than David's interval. E. David's interval will be more narrow than Mary's interval.

You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 418 randomly selected caterpillars observed, 59 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 418 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.

Solve A to C