# Chi square test

1. Paramertic test (such as t or AVOVA) differ from nonparametric test (such as chi-square) primarily in terms of the assumptions they require and the data they use. Explain these differences.

2. A researcher obtained a random sample of n=60 students to determine whether there were any significant preferences among three leading brands of colas. Each student tasted all three brands and then selected his or her favorite. The resulting frequency distribution is a s follows:

Brand A Brand B Brand C

28 14 18

Are the data sufficient to indicate any preferences among the three brands? Test with ∞=.05

Recent reports suggest that children who grow up with pets in the home tend to develop resistance to allergies. To test this phenomenon, a researcher interviews a sample of n=120 college students. Each student is asked about pets during childhood and about his or her current allergies.

0 1 2 or more

No Allergies 22 50 18 90

Allergies 18 10 2 30

40 60 20

a. Do the data indicate a significant relationship between having pets and developing resistance to allergies? Test at the .05 level of significance.

b. Compute Crame'rs V to measure the effect size.

See attached file for full problem description.

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#### Solution Summary

Step by step method for testing the hypothesis under 5 step approach is discussed here.