You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample >25?

Question

Frederick Quinn

Mathematics

10 September, 19:57

You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample >25?

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Paulina Elliott · Answer 1

The p-value would reduce.

Step-by-step explanation:

The relationship between test statistic and sample size is direct in which increase in one quantity (sample size) leads to a corresponding increase in the other quantity (test statistic).

p-value is obtained by subtracting the cumulative area of the test statistic from 1.

Since the test statistic increased due to increase in sample size, the cumulative area of the test statistic will also increase, thus reducing the p-value.