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 $\le$ 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 $\ge$ 0.30 B)H₀: p $\le$ 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 $\le$ 0.30

Quizplus · Accepted Answer

The null hypothesis, H₀, states that the proportion of students majoring in business is less than or equal to 30%. The alternative hypothesis, H_a, states that the proportion is less than 30%. This is the correct set of hypotheses for testing whether the newspaper's claim is accurate using a one-tailed test with a significance level of 0.05. Choice A and D have incorrect alternative hypotheses, and choice B has the incorrect direction in both hypotheses.

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

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