You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 382 randomly selected caterpillars observed, 54 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 __.

In a study conducted by some Statistics students, 73 people were randomly assigned to listen to rap music, music by Mozart, or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The summary statistics for each group are shown in the table. Complete parts a and b. HA: HM-HRU C. Ho: HM-HR <0 HA: HM-HR=0 ... Count Mean SD HA: HM-HRU D. Ho: HM-HR = 0 HA: HM-HR <0 Rap Mozart The 90% confidence interval for the negative difference in means is (.). (Round to three decimal places as needed.) 33 • 20 10.88 10.15. 3.71 3.04 No Music 20 13.29 4.88 Test the hypothesis. t = -0.78 (Round to two decimal places as needed.) P = 0.7799 (Round to four decimal places as needed.) State your conclusion. Use α = 0.05. Do not reject Ho. There is no evidence that the mean number of objects remembered by those who listen to Mozart is higher than the mean number of objects remembered by those who listen to rap music. b) Now compare…

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 378 randomly selected caterpillars observed, 45 lived to become butterflies. Round answers to 4 decimal places where possible. a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between      and   . b.  If many groups of 378 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.

Tina catches a 14-pound bass.  She does not know the population mean or standard deviation.  So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds.  Find the t and calculate a 95% (α = .05) confidence interval.

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 lived to become butterflies. a.  Use 3 decimal places to complete the following statement: With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between  and . b.  If many groups of 427 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.

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 384 randomly selected caterpillars observed, 46 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 384 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.

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.

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 424 randomly selected caterpillars observed, 50 lived to become butterflies. a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b.  If many groups of 424 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.

Section b is where I am struggling

In a​ poll, 69​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted of​ murder?" The margin of error in the poll was 2​%, and the estimate was made with 96​% confidence. At least how many people were​ surveyed?