Suppose you examined a possible relationship between gender and opinion on an issue in a population using two different studies.The percentages found were exactly the same for both studies, but one study had a much larger sample size than the other.Which of the following is not a possible outcome in this scenario?
A)Both studies find the relationship to be statistically significant.
B)Neither study finds the relationship to be statistically significant.
C)The larger study finds a statistically significant relationship but the smaller study does not.
D)The smaller study finds a statistically significant relationship but the larger study does not.

Question

Quizplus · Accepted Answer

If the percentages found are exactly the same in both studies, then the relationship between gender and opinion on the issue is the same in both studies. However, the larger sample size in one study may increase the power of the study to detect a statistically significant relationship. Therefore, it is possible for both studies to find the relationship to be statistically significant (choice A) or neither study to find the relationship to be statistically significant (choice B).

It is also possible for the larger study to find a statistically significant relationship but the smaller study does not (choice C), as the larger study may have enough power to detect the relationship while the smaller study may not.

The only scenario that is not possible is for the smaller study to find a statistically significant relationship but the larger study does not (choice D). If the relationship is present in the smaller study, it should also be present in the larger study as they both have the same percentages.

Suppose You Examined a Possible Relationship Between Gender and Opinion