Suppose you are testing the sample is large (n = 71) and the variance, σ2, is known. h0: μ=20 vs h1: μ> 20. (a) find the critical value(s) corresponding to α = 0.08. (b) you find that z = 1.56. based on your critical value, what decision do you make regarding the null hypothesis (i. e. do you reject h0 or do not reject h0)?

We reject the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 71

Alpha, α = 0.08

Population variance is known.

First, we design the null and the alternate hypothesis

We use One-tailed z test to perform this hypothesis.

Formula:

a) We calculate the z-critical with the help of z-table.

b)

Since,  

We fail to accept the null hypothesis and reject the null hypothesis and accept the alternate hypothesis.