Question

Consider the following null and alternative hypotheses:

H_o: p=0.76 versusH_1: p≠ 0.76

A random sample of 525 observations taken from this population produced a sample proportion of 0.80.

a. If this test is made at a 5% 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 reject/fail to reject null hypothesis

b. What is the probability of making a Type I error in part a?

p(type 1 error)=

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α=0.04? What if α=0.1?

Round your answer for the p-value to four decimal places.

p value=

For a=0.04 we reject/fail to reject H_o

For a=0.01 we reject/fail to reject H_o

Answer 1