According to some car loan statistics, 44% of Americans are relying on an auto loan to pay for their cars. Assuming this finding to be based on a simple random sample of 1500 Americans, construct and interpret the 95% confidence interval for the population proportion of Americans who have a car loan.

In a study of 150 burglary incidents witnessed by the youngsters, 43% lead those young people develop PTSD.  Find the 99% confidence interval of the true proportion of burglary incidents that lead the youngsters to develop PTSD.

A research company is interested in determining the true proportion of Americans that work remotely. In a random sample of 200 individuals, 4.5% of them work remotely. Find a 90% confidence interval for the true proportion of Americans that work remotely.

A college professor would like to estimate the proportion of students who pull an "all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who pull an all-nighter is 0.48 to 0.62. Which of these statements is a correct interpretation of the confidence level? O Approximately 99% of all students have pulled an all-nighter. O There is a 99% probability that the true proportion of all students who pull an all-nighter is between 0.48 and 0.62. If many random samples of size 100 are selected from all students at this college, approximately 99% of the intervals would capture the true proportion who pull an all-nighter. C Approximately 99% of the sample proportions of students who pull an all-nighter, based on random samples of size 100 from the population of all students at this college, will fall between 0.48 and 0.62.

Suppose we wish to estimate the average number of hours per week that Americans watch TV. Use the following data from an SRS to find a 90% confidence interval: 30        64        49        40        21        58        9          43        39            43

A recent survey of 1,000 people found that 90% of Americans support background checks for purchasing guns. Construct a 95 % confidence interval for the population proportion.

In a sample of 400 Canadians, 220 say they would rather retire in the US than in Canada. Calculate the 95% confidence interval for the true proportion of Canadians who would rather retire in the US.

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A survey of 41 students in grades 4 through 12 found 63% have classroom Wi-Fi access. Find the 99% confidence interval of the population proportion. .

In a survey of 2273 ​adults, 728 say they believe in UFOs.   Construct a 99% confidence interval for the population proportion of adults who believe in UFOs.