8.31 Refer to the Journal of Adolescence study of adolescents\' disclosure of th

Question

8.31

Refer to the Journal of Adolescence study of adolescents' disclosure of their dating and romantic relationships, Exercise 1.29(p.21).Recall that a sample of 222 high school students was recruited to participate in the study. One of the variables of interest was the level of disclosure to an adolescent's mother. The sampled high school students had a mean disclosure score of 3.26 and a standard deviation of.93. The researchers hypothesize that the true mean disclosure score of all adolescents will exceed 3. Do you believe the researchers? Conduct a formal test of hypothesis using alpha =.01.

Explanation / Answer

Set Up Hypothesis
Null, H0: U=3
Alternate, H1: U>3
Test Statistic
Population Mean(U)=3
Sample X(Mean)=3.26
Standard Deviation(S.D)=0.93
Number (n)=222
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =3.26-3/(0.93/Sqrt(222))
to =4.165
| to | =4.165
Critical Value
The Value of |t | with n-1 = 221 d.f is 2.343
We got |to| =4.165 & | t | =2.343
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Right Tail - Ha : ( P > 4.1655 ) = 0.00002
Hence Value of P0.01 > 0.00002,Here we Reject Ho

True mean disclosure score is greater than 3

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