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 tailedness, 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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