Suppose you calculate a 95% confidence interval for the
difference in population means. The confidence interval contains
both negative and positive values.
Will a 99% confidence interval based on the same data contain
both negative and positive numbers as well? Choose the correct
response from the options provided below.
|
A. Yes. Keeping all other values the same, increasing the
confidence level leads to a wider interval which would still
include negative and positive numbers. |
B. |
No. Increasing the confidence level leads to a narrower
interval so we cannot be sure if the interval would still contain
both negative and positive numbers. |
|
C. Yes. All 99% confidence intervals for the difference in
populations means contain both negative and positive numbers, no
matter the situation. |
D. |
Not necessarily. We cannot be sure how changing the confidence
level will affect the confidence interval. |