Exercises 13 and 14 refer to the following setting. People often match their beh

Question

Exercises 13 and 14 refer to the following setting. People often match their behavior to their social environment. One study of this idea first established that the type of music most preferred by black college students is R&B; and that whites most preferred rock music. Will students hosting a small group of other students choose music that matches the makeup of the people attending? Assign 90 black business students at random to three equal-sized groups. Do the same for 96 white students. Each student sees a picture of the people he or she will host. Group l sees 6 blacks, Group 2 sees 3 whites and 3 blacks, and Group 3 sees 6 whites. Ask each subject to rate on a numerical scale how likely the host is to play the type of music preferred by the other race. Use two separate one-way ANOVA F tests-one for the black students and one for the white students-to compare the three groups to see whether the racial mix of the gathering affects the choice of music.^12 What music will you play? For the black subjects, F = 2.47. (a) What are the degrees of freedom? (b) Find the P-value using technology. Interpret this result in context. (c) What conclusion would you draw? Explain.

Explanation / Answer

(a)

There are three groups so k=3

Total number of subjects N = 90

The degree of freedom of numerator is : df1=k-1=2

The degree of freedom of denomiantor is : df2=N-k=90-3=87

(B)

The p-value of the test is : 0.0905

Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

(C)

That is we cannot conclude that the racial mix of the gathering affects the choice of music.

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