# Statistics Homework

Which of the following sets of correlations correctly orders highest to lowest degree ofrelationship?

Group of answer choices

.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.

Group of answer choices

poorly

average

well

A researcher is interested in analyzing the relationship between fast-food preference and age

group. She gathers data from children, adolescents, and adults about their preference for five

different fast-food restaurants. If the data are analyzed using a chi-square test, what would be the

appropriate critical value?

Group of answer choices

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?

Group of answer choices

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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