(b) Can an effect be both small and statistically significant? No, it is not possible for a small effect with no practical relevance or importance to be statistically significant if o is very small, more so if the sample size is very large. Yes, it is possible for a small effect with no practical relevance or importance to be statistically significant if o is very small, if the sample size is very large, or both. Yes, it is possible for a small effect with no practical relevance or importance to be statistically significant if o is very large, especially if the sample size is small. No, it is not possible for a small effect with no practical relevance or importance to be statistically significant if µ is very small, if the sample size is very small, or both.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Can an effect be both small and statistically significant? How do sample size and sigma affect p-value?

(b) Can an effect be both small and statistically significant?
No, it is not possible for a small effect with no practical relevance or importance to be statistically significant if o is very
small, more so if the sample size is very large.
Yes, it is possible for a small effect with no practical relevance or importance to be statistically significant if o is very
small, if the sample size is very large, or both.
Yes, it is possible for a small effect with no practical relevance or importance to be statistically significant if o is very
large, especially if the sample size is small.
O No, it is not possible for a small effect with no practical relevance or importance to be statistically significant if u is very
small, if the sample size is very small, or both.
Transcribed Image Text:(b) Can an effect be both small and statistically significant? No, it is not possible for a small effect with no practical relevance or importance to be statistically significant if o is very small, more so if the sample size is very large. Yes, it is possible for a small effect with no practical relevance or importance to be statistically significant if o is very small, if the sample size is very large, or both. Yes, it is possible for a small effect with no practical relevance or importance to be statistically significant if o is very large, especially if the sample size is small. O No, it is not possible for a small effect with no practical relevance or importance to be statistically significant if u is very small, if the sample size is very small, or both.
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