Consider the following hypothesis test. H0: ?12 = ?22 Ha: ?12 ≠ ?22 (a) What is your conclusion if n1 = 21, s12 = 4.2, n2 = 26, and s22 = 2.0? Use ? = 0.05 and the p-value approach. Find the value of the test statistic: _______ Find the p-value. (Round your answer to four decimal places.) p-value = ___________ State your conclusion. A) Reject H0. We cannot conclude that ?12 ≠ ?22. B) Do not reject H0. We cannot conclude that ?12 ≠ ?22. C) Reject H0. We can conclude that ?12 ≠ ?22 D).Do not reject H0. We can conclude that ?12 ≠ ?22. (b)Repeat the test using the critical value approach.Find the value of the test statistic. State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.) test statistic ≤ _________ test statistic ≥ _____ State your conclusion. A) Reject H0. We cannot conclude that ?12 ≠ ?22. B) Do not reject H0. We cannot conclude that ?12 ≠ ?22. C) Reject H0. We can conclude that ?12 ≠ ?22. D) Do not reject H0. We can conclude that ?12 ≠ ?22.
Consider the following hypothesis test.
H0: ?12 = ?22
Ha: ?12 ≠ ?22
(a) What is your conclusion if n1 = 21, s12 = 4.2, n2 = 26, and s22 = 2.0?
Use ? = 0.05 and the p-value approach.
Find the value of the test statistic: _______
Find the p-value. (Round your answer to four decimal places.) p-value = ___________
State your conclusion.
A) Reject H0. We cannot conclude that ?12 ≠ ?22.
B) Do not reject H0. We cannot conclude that ?12 ≠ ?22.
C) Reject H0. We can conclude that ?12 ≠ ?22
D).Do not reject H0. We can conclude that ?12 ≠ ?22.
(b)Repeat the test using the critical value approach.Find the value of the test statistic.
State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.)
test statistic ≤ _________
test statistic ≥ _____
State your conclusion.
A) Reject H0. We cannot conclude that ?12 ≠ ?22.
B) Do not reject H0. We cannot conclude that ?12 ≠ ?22.
C) Reject H0. We can conclude that ?12 ≠ ?22.
D) Do not reject H0. We can conclude that ?12 ≠ ?22.
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