Answer
n = 500, p = 0.38, q = 1-0.38 = 0.62
p̂=$\sqrt \frac{0.38*0.62}{500}$=0.0217
z= $\frac{0.38-0.3}{0.0217}$ =3.69
α = 0.05, From the table, critical value = 1.645
Rejection region = z> 1.645
Non rejection region = z <1.645
reject null hypothesis
α = 0.05, α/2=0.025, From the table, critical value = 1.96
Rejection region = z< -1.96 or z> 1.96
Non rejection region = [-1.96 1.96]
reject null hypothesis
Work Step by Step
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