Discuss the differences between confidence and probability when referring to a confidence interval. Why do we use the phrase "we are 95% confident that...." instead of saying "we have a 95% probability that...

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A survey asked, "How important is it to you to buy products that are made in America?" of the 600 Americans surveyed, 450 responded, "It is important." For each of the following levels of confidence, find the sample proportion and the margin of error (MOE) associated with the poll. (Give the answers to one decimal place, if needed.) A 95% level of confidenceSample proportion is   %MOE =  %

The following summary of a statistical study gives a sample statistic and a margin of error. Find the confidence interval and answer any additional questions. A poll is conducted the day before a state election for senator. There are only two candidates running for this office. The poll results show that 55% of the voters favor the Republican candidate. with a margin of error of 3 percentage points. Should the Republican expect to win? Why or why not? % to %. The confidence interval is from (Simplify your answers. Use ascending order.)

What is the effect on the size of the confidence interval if a T score is used instead of a Z score? O It causes the interval to be smaller. O It has no effect on the interval. O It causes the interval to be bigger.

Which of the following confidence intervals would have a wider width for the same set of data? A 90% interval. A 99% interval. Group of answer choices The 90% interval. The 99% interval.

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.

Statistics students surveyed 135 students at Tallahassee Community College. From their data we are 95% confident that between 44.7% and 61.9% of all TCC students are female. The students realize that this interval contains a large margin of error. What can they do to make a narrower interval? 1. Survey more students.   2. Use a 99% confidence level.   3. Survey more students and use a 99% confidence interval.   4. None of the other choices.

The following summary of a statistical study gives a sample statistic and a margin of error. Find the confidence interval and answer any additional questions.   A poll is conducted the day before a state election for senator. There are only two candidates running for this office. The poll results show that 57​% of the voters favor the Republican​ candidate, with a margin of error of 3 percentage points. Should the Republican expect to​ win? Why or why​ not?       The confidence interval is from nothing​% to nothing​%. ​(Simplify your answers. Use ascending​ order.)

If you want to be confident in your estimation of a confidence interval, you should use….