A two-sided test of
H0:μ=50againstHa:μ≠50H_0: \mu = 50 \qquad \text{against} \qquad H_a: \mu \neq 50H0:μ=50againstHa:μ=50
produces an observed test statistic of z=−1.50z = -1.50z=−1.50. The test is run at α=0.05\alpha = 0.05α=0.05.
You are given one value of the standard normal CDF:
Φ(1.50)=0.9332\Phi(1.50) = 0.9332Φ(1.50)=0.9332
Which pair correctly reports the p-value and the decision?
Select all that apply.
p=0.0334p = 0.0334p=0.0334; reject H0H_0H0
p=0.9332p = 0.9332p=0.9332; fail to reject H0H_0H0
p=0.0668p = 0.0668p=0.0668; fail to reject H0H_0H0
p=0.1336p = 0.1336p=0.1336; fail to reject H0H_0H0