Which of the following are true statements Select all that a

Which of the following are true statements? Select all that apply:

- A 95% confidence interval is a random interval that contains the true parameter 95% of the time
- If I perform a linear regression and get confidence interval from 0.4 to 0.5, then there is a 95% probability that the true parameter is between 0.4 and 0.5.
- The true parameter (unknown to me) is 0.5. If I sample data and construct a 95% confidence interval, the interval will contain 0.5 95% of the time.

Solution

The second and third statements are true. A 95% confidence interval contains the true parameter 95% of the time, but the interval is not random making the first statement false.