A 95% confidence interval for the proportion of adults who exercise daily is (0.32, 0.40).
Which is the correct interpretation of the interval?
- A
95% of adults exercise daily between 32% and 40% of the time.
- Bcheck_circle
We are 95% confident the true proportion of adults who exercise daily is between 0.32 and 0.40.
- C
95% of samples will have proportions between 0.32 and 0.40.
- D
There is a 95% probability that the true proportion is between 0.32 and 0.40.
Explanation
Confidence intervals are interpreted as confidence in the procedure capturing the parameter, not probability statements about the fixed parameter.