Question

State whether the standardized test statistic z indicates that you should reject the null hypothesis.

(a) z = 1.302
(b) z = 1.053
(c) z = -1.071
(d) z = 1.486

Answer 1

The standardized test statistic z measures how many standard deviations an observed value is from the mean in a normal distribution. Depending on the critical value and the direction of the test, we can determine whether to reject the null hypothesis or not.

Step-by-step explanation:

The standardized test statistic z measures how many standard deviations an observed value is from the mean in a normal distribution. Depending on the critical value and the direction of the test, we can determine whether to reject the null hypothesis or not.

(a) With z = 1.302, we compare it to the critical value for a given significance level. If it is beyond the critical value, we reject the null hypothesis.

(b) With z = 1.053, we follow the same procedure as (a) and determine if we reject the null hypothesis or not.

(c) With z = -1.071, we follow the same procedure as (a) but compare it to the appropriate critical value for a two-sided test.

(d) With z = 1.486, we follow the same procedure as (a) and determine if we reject the null hypothesis or not.