Question

A social psychologist predicts that college students will be impaired from a self-efficacy program for professional athletes. A sample of students is drawn from a university whose students have an average of 54 for self-efficacy. The sample of students goes through the program for six weeks and afterwards are given a self-efficacy questionnaire. What can the psychologist conclude with an α of 0.01? The self-efficacy scores for the sample after six weeks are:
50, 61, 80, 46, 94, 66, 76, 85, 77, 70, 77.

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Population:
---Select--- self-efficacy program six weeks college students sample of students from the university students at the university
Sample:
---Select--- self-efficacy program six weeks college students sample of students from the university students at the university

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

The self-efficacy of students that undergo the self-efficacy program is higher than those at the university.The self-efficacy of students that undergo the self-efficacy program is less than those at the university.    The self-efficacy of students that undergo the self-efficacy program is not significantly different than those at the university.

Answer 1

a) One sample t test

b) Population : self efficacy score after six weeks self efficacy program for all college students

Sample : self efficacy score after six weeks self efficacy program for a section of students from a university

c) The null and alternative hypothesis

Test statistic

t = 3.92

critical value, tc = 2.764 (for =0.01 , df =10 , one tailed)

Since t > tc , the test is significant

We reject H0

d) 99% confidence interval for population mean for self efficacy score after six six weeks program

For 99% confidence with df =10 , tc = 3.169

Therefore 99% confidence interval is

= (57.26 , 84.92)