Consider the following hypothesis test. Hỏi thì H250 H₂: H₁-H₂ > 0 The following results are for two independent samples taken from the two populations. Sample 1 = 40 Sample 2 7₂ = 50 n₁ X1 = 25.4 %₁ = 5.7 %2=6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) x₂= = 22.8 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? O Reject Ho. There is insufficient evidence to conclude that μ₁ − µ₂ > 0. Reject H. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ −μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that ₁ - ₂ > 0.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Consider the following hypothesis test.
Ho: H₁ - H₂ SO
Ha: M₁ - H₂ > O
The following results are for two independent samples taken from the two populations.
Sample 1 Sample 2
n₁ = 40
7₂ = 50
X₁ = 25.4
%1 = 5.7
(a) What is the value of the test statistic? (Round your answer to two decimal places.)
= 22.8
x₂ =
%₂ = 6
(b) What is the p-value? (Round your answer to four decimal places.)
(c) with a = 0.05, what is your hypothesis testing conclusion?
Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0.
Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0.
Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0.
Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0.
-
Transcribed Image Text:Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -
Expert Solution
Step 1: Determine the given data

From the provided information,

n subscript 1 equals 40
top enclose x subscript 1 equals 25.4
sigma subscript 1 equals 5.7
n subscript 2 equals 50
top enclose x subscript 2 equals 22.8
sigma subscript 2 equals 6

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