Assumptions: a) Simple Random Sample
b) n(p)(1-p) ≥ 10
Step 1: Set up null and alternative hypotheses.
H0: p =
H1: p >
Step 2: Determine level of significance of hypothesis test.
α =
(Note: α = level of significance of hypothesis test
= probability of making Type I error.)
Step 3: Calculate Test Statistic.
p̂ = sample proportion =
(Note: p̂ = x/n)
n = sample size =
Calculate Test Statistic z:
(Note: Value of p comes from Step 1)
Step 4: Determine P-value
Using the test statistic in Step 3 as a z-score, we will find the right-tailed area corresponding to this z-score.