Based on the P-value shown in the picture do you reject or fail to reject the null hypothesis? Please explain reasoning. The level significance is 0.05

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Based on the P-value shown in the picture do you reject or fail to reject the null hypothesis? Please explain reasoning. The level significance is 0.05
Crunch
Options
Two sample Thypothesis test:
41: Mean of Fall2020 Score
H2: Mean of Spring2021 Score
H1 - H2 : Difference between two means
Ho : 41 - H2 = 0
HA : H1 - 42 # 0
(without pooled variances)
Edit -
Data -
St
(1 of 2)
Crunch -
Applets -
Fall2020 Score
Spring2021 Score
47
48.5
46
47.5
45.5
45.5
4
41.5
43.5
41.5
40.5
41.5
40.5
41
40
Sample Statistics:
40.5
39
Sample
Mean
Std. dev.
I
40
38
10
39.5
37.5
Fall2020 Score
32 35.140625 7.4262333
11
39.5
37.5
Spring2021 Score 33 29.136364 12.743425
12
39.5
36
13
38.5
35.5
Hypothesis test results:
Difference Sample Diff. Std. Err.
14
37.5
35
DF
T-Stat
P-value
15
37
33
H1 - 42
6.0042614 2.5776853 51.782336 2.3293229 0.0238
16
37
32
17
36.5
31.5
18
35.5
31
19
35.5
30
Transcribed Image Text:Crunch Options Two sample Thypothesis test: 41: Mean of Fall2020 Score H2: Mean of Spring2021 Score H1 - H2 : Difference between two means Ho : 41 - H2 = 0 HA : H1 - 42 # 0 (without pooled variances) Edit - Data - St (1 of 2) Crunch - Applets - Fall2020 Score Spring2021 Score 47 48.5 46 47.5 45.5 45.5 4 41.5 43.5 41.5 40.5 41.5 40.5 41 40 Sample Statistics: 40.5 39 Sample Mean Std. dev. I 40 38 10 39.5 37.5 Fall2020 Score 32 35.140625 7.4262333 11 39.5 37.5 Spring2021 Score 33 29.136364 12.743425 12 39.5 36 13 38.5 35.5 Hypothesis test results: Difference Sample Diff. Std. Err. 14 37.5 35 DF T-Stat P-value 15 37 33 H1 - 42 6.0042614 2.5776853 51.782336 2.3293229 0.0238 16 37 32 17 36.5 31.5 18 35.5 31 19 35.5 30
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