Question

For a left-tailed test, the critical value of z so that a hypothesis test would reject the null hypothesis at 1% significance level would be __________. Answer choices are rounded to the hundredths place. -1.03 -3.09 -2.33 -1.28

Answer 1

Answer:

C.-2.33

Step-by-step explanation:

We are given that

Significance level, $\alpha =1$%=0.01

We have to find  the critical value of z  for a left-tailed test.

To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.

By using the z-table at significance level 0.01 for left-tailed test

The critical value of z at  1% significance level for left-tailed test

=-2.33

We get p-value by using z-critical value

P-value=0.0099<0.01

So, hypothesis  test would be reject the null hypothesis at  at 1% significance level.

Hence, the critical value of z=-2.33

Option C is true.