If other factors are held constant,which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?
A)M = 85 for a sample of n = 25
B)M = 85 for a sample of n = 100
C)M = 90 for a sample of n = 25
D)M = 90 for a sample of n = 100

Question

If other factors are held constant,which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?​
A)​M = 85 for a sample of n = 25
B)​M = 85 for a sample of n = 100
C)​M = 90 for a sample of n = 25
D)​M = 90 for a sample of n = 100

Quizplus · Accepted Answer

The likelihood of rejecting a null hypothesis increases with both a larger sample size (n) and a greater difference between the sample mean (M) and the population mean under the null hypothesis (m). Option D has the largest sample size and the greatest difference from the null hypothesis value, making it the most likely to reject the null hypothesis.

If Other Factors Are Held Constant,which Set of Sample Characteristics