Based on the sample statistics below, is there sufficient evidence to conclude a difference in the average amount of television watching times between the two groups? α = 0.01?
Children |
Teens |
|
n |
15 |
15 |
M |
22.45 |
18.50 |
s |
16.4 |
18.2 |
Step 1: State the hypotheses.
Step 2: Compute the df, Determine the tailed-ness, and Find the Critical Value
Step 3: Compute the test value.
Step 4: Make the decision.
Step 5: Summarize the results.
To Test :-
H0 :-
H1 :-
Test Statistic :-
t = 0.6244
Test Criteria :-
Reject null hypothesis if | t | > t(α/2, DF)
Degree of Freedom = 27
Critical value t(α/2, DF) = t(0.01 /2, 27 ) =
2.771
| t | > t(α/2, DF) = 0.6244 < 2.771
Result :- Fail to Reject Null Hypothesis
Decision based on P value
P - value = P ( t > 0.6244 ) = 0.5376
Reject null hypothesis if P value < α = 0.01 level of
significance
P - value = 0.5376 > 0.01 ,hence we fail to reject null
hypothesis
Conclusion :- We Accept H0
There is insufficient evidence to support the claim that difference in the average amount of television watching time between two groups.
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