6. True or False A 95% confidence interval means that there is a 95% probability that the interval will include the true population mean.

A 99% confidence interval guarantees that the true population mean value lies within this confidence range around the measured mean True False

Describe three important properties of confidence intervals.

What is the relationship between confidence intervals and hypothesis tests?

Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a sample proportion of p̂=0.23. What is the margin of error?

A 95% confidence interval for how much time on average GRC students spend doing homework every day is 75 to 105 minutes.Choose a correct interpretation of the statement above. A. If random sampling is repeated, 95% of the confidence intervals created will capture the true mean. B. If random sampling is repeated, 95% of the samples will have a mean that is between 75 and 105 minutes. C. 95% of GRC students study between 75 and 105 minutes on average every day. D. There is 95% chance that the true mean is between 75 and 105 minutes.

According to a Field Poll, 263 out of 569 of California adults feel that "education and our schools" is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education and the schools is one of the top issues facing California. The error bound is ___________  rounded to 4 decimal places.