You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: #11₂50 H₂H₁-H₂>0 The following results are for two independent samples taken from the two populations. Sample 1 01-40 X₁25.8 %1 = 5.2 Sample 2 ₂ = 50 X₂= 22.8 %₂56 (a) What is the value of the test statistic? (Round your answer to two decimal places.) 2.12 x (b) What is the p-value? (Round your answer to four decimal places.) 0.0172 x (c) With a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that #₁ - H₂> 0. Do not Reject Ho: There is sufficient evidence to conclude that H₁-H₂> 0. Do not reject Ho There is insufficient evidence to conclude that #₁ - H₂> 0. Reject Ho. There is sufficient evidence to conclude that #₁H₂> 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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Subject: stet

1
You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Hoi Mi My5o
H₂H₁-H₂> 0
The following results are for two independent samples taken from the two populations.
Sample 1
Sample 2
₁ = 40
2 = 50
x₁ = 25.8
X₂ = 22.8
1 = 5.2
%2=6
2.12
(a) What is the value of the test statistic? (Round your answer to two decimal places.)
(b) What is the p-value? (Round your answer to four decimal places.)
0.0172
X
(c) With a = 0.05, what is your hypothesis testing conclusion?
Reject Ho. There is insufficient evidence to conclude that #₁ - H₂> 0.
Do not Reject Ho: There is sufficient evidence to conclude that H₁-H₂> 0.
Do not reject Ho. There is insufficient evidence to conclude that #₁ #₂ > 0.
Reject Ho. There is sufficient evidence to conclude that #₁ - ₂ > 0.
C
Transcribed Image Text:1 You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Hoi Mi My5o H₂H₁-H₂> 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 ₁ = 40 2 = 50 x₁ = 25.8 X₂ = 22.8 1 = 5.2 %2=6 2.12 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) 0.0172 X (c) With a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that #₁ - H₂> 0. Do not Reject Ho: There is sufficient evidence to conclude that H₁-H₂> 0. Do not reject Ho. There is insufficient evidence to conclude that #₁ #₂ > 0. Reject Ho. There is sufficient evidence to conclude that #₁ - ₂ > 0. C
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