Question

For each obtained value stated below, (1) what is the decision for each if a = .05 (one-tailed test, upper-tail critical), and (2) what is the decision for each if a = .01 (two-tailed test)?

a. Zobt = 2.10
b. Zobt = 1.70
c. Zobt = 2.75
d. Zobt = -3.30

Answer 1

For each obtained value, we need to determine the decisions for a one-tailed test with a = .05 and a two-tailed test with a = .01.

Step-by-step explanation:

For each obtained value, we need to determine the decision if a = .05 (one-tailed test, upper-tail critical) and if a = .01 (two-tailed test).

1. a. Zobt = 2.10: For a one-tailed test with a = .05, we compare the obtained value 2.10 to the critical value in the upper tail. If the obtained value is greater than the critical value, we reject the null hypothesis. For a two-tailed test with a = .01, we compare the absolute value of the obtained value 2.10 to the critical value in both tails. If the obtained value is greater than the critical value in either tail, we reject the null hypothesis.
2. b. Zobt = 1.70: Follow the same process as in part (a) but with the obtained value 1.70.
3. c. Zobt = 2.75: Follow the same process as in part (a) but with the obtained value 2.75.
4. d. Zobt = -3.30: For a one-tailed test with a = .05, we compare the absolute value of the obtained value 3.30 to the critical value in the upper tail. If the obtained value is greater than the critical value, we reject the null hypothesis. For a two-tailed test with a = .01, we compare the absolute value of the obtained value 3.30 to the critical value in both tails. If the obtained value is greater than the critical value in either tail, we reject the null hypothesis.