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1. A researcher explores the relationship between self-control (as a self-reported trait) and impulsive buying among 30 unemployed adults between the ages of 25 and 40. Scores on the self-control scale can range from 20 to 100, with higher scores suggesting more of the trait. Impulsive buying was assessed with 5 items, and scores can range from 5 to 25, with higher scores reflecting more impulsive buying behavior.
The researcher computes the correlation between the variables to be −.46.
1a. [8%] State a null hypothesis.
1b. [8%] State a directional (1-tailed) alternative hypothesis.
1c1. [8%] Can you reject the null hypothesis?
1c2. [8%] Why or why not?
1d. [8%] What is the probability of a Type I error?
1e. [2.6%] What is the probability of a Type II error?
The researcher computes the linear regression predicting impulsive buying from self-control and finds this prediction equation: Y ′ = −.25X + 20.
1f. [8%] If an adult scores 72 on self-control, what is their predicted impulsive buying score?
1g1. [2%] Given the information you have, can you predict a person’s self-control scores from his impulsive buying score?
1g2. [2%] Why or why not?
1h. [6.4%] What percentage of the variability in impulsive buying is accounted for by knowing its relationship with self-control?
2. In last week’s assignment you worked with (fictional) data showing that, for students, creativity is negatively correlated with honesty (r = -.565, p(2-tailed) = .028). Now we consider whether these variables are related to students’ academic performance. The table at the end of this problem contains last week’s data, with a column added for Academic Standing, which is coded as follows:
1 = in good academic standing and
0 = on academic probation.
2a. [7%] What is the measurement scale (nominal, ordinal, or interval/ratio) for the Academic Standing variable? (Note: Honesty and Creativity are on an interval/ratio scale.)
2b. [8%] Compute the appropriate correlation and statistical test to determine whether Academic Standing is related to Creativity.
2c. [8%] Compute the appropriate correlation and statistical test to determine whether Academic Standing is related to Honesty.
2d. [8%] Describe both of these results using APA format, being sure to state whether each is statistically significant.
2e. [8%] Using APA format, discuss the meaning and implications of your findings.
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