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 majors and finds the sample’s average score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average score is 89. What is the alternative hypothesis of this test?1. μBusiness>μLiberal Arts2. μBusiness=μLiberal Arts3. μBusiness≠μLiberal Arts4. μBusiness<μLiberal Arts

Answer 1

Explanation:

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

Thus the test was to decide which is better with no bias.

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

Since we cannot take any sides alternate hypothesis should be

μBusiness≠μLiberal Arts4.