Question

A paper describes a study that surveyed a sample of college students at two midwestern public...

A paper describes a study that surveyed a sample of college students at two midwestern public universities. Based on the survey responses, students were classified into two "locus of control" groups (internal and external) based on the extent to which they believe that they control what happens to them. Those in the internal locus of control group believe that they are usually in control of what happens to them, whereas those in the external locus of control group believe that it is usually factors outside their control that determines what happens to them. Each student was also classified according to a measure of compulsive buying.

The resulting data are summarized in the accompanying table. Can the researchers conclude that there is an association between locus of control and compulsive buying behavior? Carry out a

χ2 test

using

α = 0.01.

Assume it is reasonable to regard the sample as representative of college students at midwestern public universities.

Locus of Control
Internal External
Compulsive
   Buyer?
Yes 5 14
No 48 52

Calculate the test statistic. (Round your answer to two decimal places.)

χ2 =

P-value =  

What can you conclude?

Reject H0. There is convincing evidence of an association between locus of control and compulsive buyer behavior.Do not reject H0. There is not convincing evidence that the proportions of students in the two compulsive buyer categories are not the same for both locus of control groups.     Reject H0. There is convincing evidence that the proportions of students in the two compulsive buyer categories are not the same for both locus of control groups.Do not reject H0. There is not convincing evidence of an association between locus of control and compulsive buyer behavior.

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