The 98% confidence interval for the mean distance for the long jump for a random sample of 50 members of a high school track and field team is (70 in., 88 in.). Which of the following statements is the correct interpretation of 98% confidence?
A 95% confidence level gives the overall success rate of the method used to calculate the confidence interval. That is, in of all possible samples when the conditions for inference are met, the interval computed from the sample data the true value.
A 95% confidence level gives the overall success rate of the method used to calculate the confidence interval. That is, in of all possible samples when the conditions for inference are met, the interval computed from the sample data the true value.
If we were to select many random samples of from the same population and construct a 98% confidence interval using each sample, about of the intervals would capture the .
A 95% confidence level gives the overall success rate of the method used to calculate the confidence interval. That is, in of all possible samples when the conditions for inference are met, the interval computed from the sample data the true value.
A random sample was selected, and a confidence interval was created from the point estimate.If the confidence level is decreased, the width of the interval will:
After deciding on a 95% confidence level, a researcher is trying to decide what sample size to use. Using a sample size of 800 instead of 200 would increase the cost to conduct her research, but how will it affect her margin of error?
As the sample size increases, the width of the interval and the “capture rate” will while the sample size .
A professor at a large university wants to know if students prefer to take face-to-face classes or online classes. He gives an anonymous random survey to 50 students who attend his classes. Based on the responses, the professor constructs a 90% confidence interval where he determines the interval from 0.58 to 0.71 captures the true proportion of students who prefer to take face-to-face classes.Identify a potential source of bias that is not accounted for by the margin of error.
As the sample size increases, the width of the interval and the “capture rate” will while the sample size .
If we were to select many random samples of from the same population and construct a 98% confidence interval using each sample, about of the intervals would capture the .
As the sample size increases, the width of the interval and the “capture rate” will while the sample size .
Did you find these answers helpful?