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Which of the following two statements are correct?

a) A statistically significant result is always practically significant.

b) A result that is not statistically significant is never of practical significance.

c) It is possible that a statistically significant result is not of practical significance.

d) It is possible that a result that is not statistically significant is of practical significance.

1 Answer

6 votes

Final answer:

Statistically significant results may not always be practically significant, and results that are not statistically significant can still be of practical significance.

Step-by-step explanation:

The correct statements are:

c) It is possible that a statistically significant result is not of practical significance.

d) It is possible that a result that is not statistically significant is of practical significance.

A statistically significant result means that there is strong evidence to support a relationship or difference between variables. However, practical significance refers to whether this relationship or difference is meaningful or important in real-world terms. It is possible to have a statistically significant result that has little or no practical significance, such as a very small effect size. On the other hand, a result that is not statistically significant may still be of practical significance if it has a large effect size or has important implications in a specific context.

User Amachree Tamunoemi
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