18 Assume that a null hypothesis is true Which one of the fo

18. Assume that a null hypothesis is true. Which one of the following statements is true?

a. A study with a larger sample is more likely than a smaller study to get the result that P < 0.05.

b. A study with a larger sample is less likely than a smaller study to get the result that P < 0.05.

c. A study with a larger sample is equally likely compared to a smaller study to get the result P < 0.05.

Solution

P-value = probability of getting this sample assuming null is true. Here null is indeed true, and p-value Thus, probability of getting p-value less than 0.05 is 0.05, irrespective of sample size.

(c) is correct