I only need f.) answered below You are a director of a treatment program for juv
ID: 3392887 • Letter: I
Question
I only need f.) answered below
You are a director of a treatment program for juvenile offenders. You are writing a grant to receive additional funding and want to show that the youth that you serve have more severe problems than the general population. You recently read an article that reports the average age of 1stalcohol use is 15 years of age. You use this information to conduct a one-sample t-test using SPSS. The output is as follows:
One-Sample Statistics
N
Mean
Std. Deviation
Std. Error Mean
age of 1st alcohol use
424
12.18
2.650
.129
One-Sample Test
Test Value = 15
t
df
Sig. (2-tailed)
Mean Difference
95% Confidence Interval of the Difference
Lower
Upper
age of 1st alcohol use
-21.919
423
.000
-2.821
-3.07
-2.57
a.What was the sample size you used?
424
b.What was the average age of 1st alcohol use in the sample? 12.18
c.What is the null hypothesis you are testing? Null hypothesis: H0:15
d.What is the research hypothesis? Research hypothesis: H1: <15
e.Based on the results, what is your decision regarding the null hypothesis? Why or how did you arrive at this decision? The p- value is: 0.0000 It is observed that, the p – value is less than the significance level so we reject null hypothesis.
f.)How would you use the results from the t-test to bolster your argument for additional money for the treatment program?
One-Sample Statistics
N
Mean
Std. Deviation
Std. Error Mean
age of 1st alcohol use
424
12.18
2.650
.129
Explanation / Answer
Solution:
t calculated =-21.919
degrees of freedom=423
level of significance=0.05
since the calc value of -21.919 does not fall in range
Reject null hypohesis
Accept alternate hypothesis.
there is significant diff between the means of two populations.
the average age of 1st alcohol use is 1less than 5 years of age.
he youth that you serve have more severe problems than the general population.