A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give

Question

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A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give

s 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%?

Mathematics

1 answer:

Leona [12.6K] · Answer 1 · 2026-02-26T17:00:43+03:00

Answer:

There is no notable difference between the two averages at a 5% significance level.

Step-by-step explanation:

A college student wanted to investigate whether business majors or liberal arts majors performed better in trivia.

The student administered a trivia quiz to 30 business majors, achieving an average score of 86. The same quiz was given to 30 liberal arts majors, with an average score of 89.

This process involved hypothesis testing to compare the means of two different disciplines. 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 no specific claim is made regarding which group is better, a two-tailed test is appropriate.

The p-value achieved $= 0.0524 >5%$ exceeds our alpha level,

indicating no significant difference exists between the average scores of the two groups, so we accept the null hypothesis.