Question

Determine the critical value or values for a one-mean z-test at the 10% significance level if the hypothesis test is left-tailed (Ha:μ<μ0).z0.10 1.282z0.05 1.645z0.025 1.960z0.01 2.326z0.005 2.576

Answer 1

Answer: 1.282

Step-by-step explanation:

Given : Significance level : $\alpha= 10\%=0.10$

The alternative hypothesis : $H_a:\mu$, which is left tail-ed , it means the test is left -tailed test i.e. one -tailed test.

By using the standard normal distribution table , we have

The critical value for a one-mean z-test corresponding to the significance level 0.10 is 1.2815515 or approximately 1.282

Hence, the  critical value or values for a one-mean z-test at the 10% significance level if the hypothesis test is left-tailed = 1.282