# Statistics Homework

Which of the following sets of correlations correctly orders highest to lowest degree ofrelationship?
.83, .10, -.91, -.03
-.91, .83, -.03, -.10
.83, .10, -.03, -.91
-.91, .83, .10, -.03
A correlation between students’ hours of sleep and first-semester college GPA was -0.27. From
this, we should conclude that students who get a lot of sleep will perform ___________ their first
semester.
poorly
average
well
A researcher is interested in analyzing the relationship between fast-food preference and age
different fast-food restaurants. If the data are analyzed using a chi-square test, what would be the
appropriate critical value?
5.99
25.00
15.51
11.07
If an alternative hypothesis indicates that H1: rho > 0 (one-tailed), what is the critical value for a
sample with 15 participants and alpha = 0.05?
An alternative hypothesis indicates that H1: rho > 0 (one-tailed). You have a sample of 15 and an
observed r of -0.56. With an alpha of 0.05, what is your t-statistic calculation?
Based on the t-statistic you calculated above, will you reject or fail to reject the null hypothesis?
If an alternative hypothesis indicates that H1: rho = 0 (two-tailed), what is the critical value for a
sample with 17 participants and alpha = 0.01?
An alternative hypothesis indicates that H1: rho = 0 (two-tailed). You have a sample of 17 and an
observed r of 0.56. With an alpha of 0.01, what is your t-statistic calculation?
Based on the t-statistic you calculated above, will you reject or fail to reject the null hypothesis?
For a sample of adolescent women arrested for shoplifting, the correlation between scores on a
deviant behavior scale and the dollar value of shoplifted items within the past month is r = 0.38.
Calculate r2. Then, interpret the value of r2 in a sentence.
In a study using the X2 (chi-square) test, one variable has 4 levels and the other variable has 3
levels. If X2obt = 14.6 and N = 80, what is the value for effect size?
In a study using the X2 (chi-square) test, one variable has 4 levels and the other variable has 3
levels. If X2obt = 14.6 and N = 80, what is the interpretation of this value?
large
medium
small
Similarity in attitudes and beliefs play a role in the success of long-term relationships. Thus,
correlations for attitudes between married couples should be strong. Using the following data
for nine couples, determine if the relationship between wives’ (X) and husbands’ (Y) attitudes
toward religion is significant. Use alpha = 0.05 and show all 5 steps of the hypothesis test, and
then find r2.
∑X = 27
∑X2 = 113
∑Y = 18
∑Y2 = 52
∑XY = 57
SP = 3
Research has indicated that there is a relationship between age group and willingness to use
mental health services. Do the following data indicate a significant relationship between the
variables? Use alpha = 0.05 and show all 5 steps of the hypothesis test, and then find the
appropriate effect size measure.
Younger Older
Total
No
17
13
30
Maybe
32
43
75
Yes
11
34
45
Total
60
90

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