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%? The student should reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. The student should reject the null hypothesis and conclude that there is a significant difference between business and liberal arts majors’ knowledge of trivia. The student should fail to reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. The student should fail to reject the null hypothesis and conclude that there is a significant difference between business and liberal arts majors’ knowledge of trivia.

Answer 1

Answer:

The student should fail to reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors' knowledge of trivia.

Step-by-step explanation:

Null hypothesis: Business majors are the same as liberal arts major at trivia.

Alternate hypothesis: Business majors are better (greater) than liberal arts majors at trivia.

Conclusion:

Fail to reject the null hypothesis because the p-value 0.0524 is greater than the significance level 0.05