The academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test his belief is A)H₀: p 0.35 H_a: p $\ge$ 0.35 B)H₀: p $\le$ 0.35 H_a: p 0.35 C)H₀: p $\ge$ 0.35 H_a: p 0.35 H_a: p $\le$ 0.35

Question

The academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test his belief is A)H₀: p > 0.35 H_a: p $\ge$ 0.35 B)H₀: p $\le$ 0.35 H_a: p > 0.35 C)H₀: p $\ge$ 0.35 H_a: p < 0.35 D)H₀: p > 0.35 H_a: p $\le$ 0.35

Quizplus · Accepted Answer

The null hypothesis (HS) should state that the percentage of students attending summer school is less than or equal to 35%, while the alternative hypothesis (HA) should state that the percentage is greater than 35%. Therefore, the correct set of hypotheses would be HS: p ≤ 0.35 and HA: p > 0.35. Option C is the only one that correctly represents these hypotheses.

The Academic Planner of a University Thinks That at Least ≥\ge≥

The Academic Planner of a University Thinks That at Least $\ge$