Hypothesis Testing:

    In a survey of 35 people, 22 said that whether or not the instructor was amiable to them was important to their results in an academic settings (question #9). Test the claim that when surveyed, the proportion of people who say that the instructors amiableness is important to their results in an academic setting is more than 0.60. Use a 0.05 significance level.

p = 0.60; p-hat = 22/35, n = 35, q = 0.40    (np ≥ 5 and nq ≥ 5 both satisfied)

α = 0.05

H₀: p ≤ 0.60

H₁: p > 0.60 (claim)

z = (p-hat - p) / √(pq / n)

z = ((22/35) - 0.60) / √((0.60 · 0.40) / 35)

z = 0.0286 / 0.0828

z = 0.345

Critical Value: z = 1.645

Critical Region: z > 1.645

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