Question

Which of the following statements is NOT true regarding confidence intervals?

a) When a confidence interval contains the number 1, it indicates that the results are consistent with a positive association.
b) A 95% confidence interval contains the "true" population estimate 95% of the time.
c) Confidence intervals are influenced by the variability of data and the sample size.
d) When a small sample size is used, a wide confidence interval may result because it is difficult to produce precise results.

Answer 1

A confidence interval is a range of values that we can be confident contains the true population parameter. It is calculated using sample data and is influenced by the variability of the data and the sample size. The statement that is NOT true regarding confidence intervals is that when a confidence interval contains the number 1, it indicates that the results are consistent with a positive association.

Step-by-step explanation:

A confidence interval is a range of values that we can be confident contains the true population parameter. It is calculated using sample data and is influenced by the variability of the data and the sample size. The statement that is NOT true regarding confidence intervals is:

a) When a confidence interval contains the number 1, it indicates that the results are consistent with a positive association.

This statement implies that if the confidence interval contains the number 1, there is a positive association between variables, which is not necessarily true. A confidence interval only provides a range of plausible values for the population parameter, not information about the direction or strength of the association.