Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α=0.05. ​Z-Test   ​Z-Test   Inpt: Data Stats       μ≠40   μ0​:40     z=−2.10818511   σ​:5.25     p=0.03501498   x​:38.25     x=38.25   ​n:40     n=40   μ: ≠μ0 <μ0 >μ0           Calculate Draw       Choose the correct answer below.     A. Since the​ P-value is less than α​, reject the null hypothesis.   B. Since the​ P-value is less than α​, fail to reject the null hypothesis.   C. Since the​ P-value is greater than α​, fail to reject the null hypothesis.   D. Since the​ P-value is greater than α​, reject the null hypothesis.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of
α=0.05.
​Z-Test
 
​Z-Test
 
Inpt: Data
Stats
 
 
 
μ≠40
 
μ0​:40
 
 
z=−2.10818511
 
σ​:5.25
 
 
p=0.03501498
 
x​:38.25
 
 
x=38.25
 
​n:40
 
 
n=40
 
μ:
≠μ0
<μ0
>μ0
 
 
 
 
 
Calculate Draw
 
 
 
Choose the correct answer below.
 
 
A.
Since the​ P-value is
less
than
α​,
reject
the null hypothesis.
 
B.
Since the​ P-value is
less
than
α​,
fail to reject
the null hypothesis.
 
C.
Since the​ P-value is
greater
than
α​,
fail to reject
the null hypothesis.
 
D.
Since the​ P-value is
greater
than
α​,
reject
the null hypothesis.
Expert Solution
Step 1

From the given information, test statistic value is z = -2.10818511

P-value = 0.03501498.

Level of significance Statistics homework question answer, step 1, image 1

Population standard deviation value is 5.25.

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