Consider the following null and alternative hypotheses:
H0: p = 0.79 versus H1: p ≠ 0.79.
A random sample of 575 observations taken from this population produced a sample proportion of 0.81.
a. If this test is made at a 0.10 significance level, would you reject the null hypothesis? Use the critical-value approach. Round your answer for z to two decimal places.
Z_observed =
Z_critical left =
Z_critical right =
We _____ the null hypothesis.
b. What is the probability of making a Type I error?
P(Type I error) =
c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = 0.02? What if α = 0.04?
Round your answer for the p-value to four decimal places.
p-value =