The school's newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper's claim. The correct set of hypotheses is A)H₀: P 0.30 C)H₀: P 0.30 H_a: P 0.30 H_a: P 0.30

Question

The school's newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper's claim. The correct set of hypotheses is A)H₀: P < 0.30 H_a: P 0.30 B)H₀: P 0.30 H_a: P > 0.30 C)H₀: P 0.30 H_a: P < 0.30 D)H₀: P > 0.30 H_a: P 0.30

Quizplus · Accepted Answer

The null hypothesis should be that the proportion of students majoring in business is less than or equal to 30%, which is HS: P ≤ 0.30. The alternative hypothesis should be that the proportion of students majoring in business is greater than 30%, which is HA: P > 0.30. Therefore, the correct set of hypotheses is H₀: P ≤ 0.30 and H_a: P > 0.30. Choice C correctly represents these hypotheses.

The School's Newspaper Reported That the Proportion of Students Majoring