The probability that a 95% confidence interval includes the parameter of interest is 0.95.Group of answer choicesTrueFalse

Understanding the Question

The question pertains to the interpretation of confidence intervals in statistics. A 95% confidence interval means that if we were to take many samples and create a confidence interval from each of them, approximately 95% of those intervals would contain the true parameter of interest.

Analysis of the Statement

1. Confidence Interval Definition: A 95% confidence interval implies that in repeated sampling, 95% of the constructed intervals will contain the true population parameter.
2. Interpretation: The statement "The probability that a 95% confidence interval includes the parameter of interest is 0.95" correctly interprets the meaning of confidence intervals.

Conclusion

Based on the above analysis, the statement is indeed true.

Final Answer

True. The probability that a 95% confidence interval includes the parameter of interest is 0.95.