Question

A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89. The student finds that the p-value for the hypothesis test equals approximately 0.0524. What can be concluded at αα=5%?

Answer 1

Answer:

There is no significant difference between the two averages at 5% level

Step-by-step explanation:

Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.

The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89

Thus he has done a hypothesis testing for comparison of two means of different subjects.  n =30

$H_0: Mean of business majors = Mean of liberal arts majos\\H_a:Mean of business majors \neq  Mean of liberal arts majos$

Since which is better is not claimed we use two tailed test here

We find that p value $= 0.0524 >5%$ our alpha

Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted