Consider the following hypothesis test. 2 H₂:0₂ ² 2 (a) What is your conclusion if n₁ = 21, s, ² = 4.2, n₂ = 26, and s₂² = 2.0? Use a = 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. O Reject H.. We cannot conclude that o, ² = 0,². 1 O Do not reject H. We cannot conclude that o O Reject H. We can conclude that σ,² +0,². 2 O Do not reject H. We can conclude that , ² = 0,². 2 (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 statistics test statistic 2 State your conclusion. O Reject H. We cannot conclude that ,2 # 0,₂². O Do not reject H. We cannot conclude that , 2 Reject H. We can conclude that σ₂² # ₂². O Do not reject H. We can conclude that o,
Consider the following hypothesis test. 2 H₂:0₂ ² 2 (a) What is your conclusion if n₁ = 21, s, ² = 4.2, n₂ = 26, and s₂² = 2.0? Use a = 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. O Reject H.. We cannot conclude that o, ² = 0,². 1 O Do not reject H. We cannot conclude that o O Reject H. We can conclude that σ,² +0,². 2 O Do not reject H. We can conclude that , ² = 0,². 2 (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 statistics test statistic 2 State your conclusion. O Reject H. We cannot conclude that ,2 # 0,₂². O Do not reject H. We cannot conclude that , 2 Reject H. We can conclude that σ₂² # ₂². O Do not reject H. We can conclude that o,
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Transcribed Image Text:Consider the following hypothesis test.
2
H: 0,²
2
(a) What is your conclusion if n₁ = 21, s, ² = 4.2, n₂ = 26, and s₂² = 2.0? Use α = 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.
O Reject H₂.
We cannot conclude that o, ² = 0,².
1
O Do not reject H. We cannot conclude that o
O Reject H. We can conclude that a ²0₂².
2
O Do not reject H. We can conclude that , ² *0,²
2
(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 statistics
test statistic 2
State your conclusion.
O Reject H. We cannot conclude that ,2 # 0,₂².
O Do not reject H. We cannot conclude that o
2
O Reject H. We can conclude that σ₂² # ₂².
O Do not reject H. We can conclude that o
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