Answer to Question #188598 in Statistics and Probability for reignu

Question

1. Two teachers teach two groups of students who are studying the same subject. In the first group, 30 students were selected of which 11 failed the quarterly examination while in the second group, 10 out of 24 students failed. At x = 0.01, is it valid to conclude that the rate of failure in the first group is less than that of the second group? What is the implication of the results of this test

Answer 1

At $\alpha=0.01,$ For example, a p-value of 0.01 would mean there is a 1% chance of committing a Type I error. However, using a lower value for alpha means that you will be less likely to detect a true difference if one really exists (thus risking a type II error.

Thus It is not efficient to compare the two data.

The impication of the test distorted the analysis of the number of failure of students.