In the Preview for this chapter we presented a research study demonstrating that
ID: 3257228 • Letter: I
Question
In the Preview for this chapter we presented a
research study demonstrating that romantic background
music increases the likelihood that a woman
will give her phone number to a man she has just met
(Guéguen, Jacob, & Lamy, 2010). The frequency
distribution for the study is reproduced in the
following table.
a. Use a chi-square test for independence with
a = .05 to determine whether the data show a
significant relationship between the type of music
and the behavior of the female participants.
b. Compute the phi-coefficient to measure the
strength of the relationship.
Yes No
Romantic 23 21
Neutral 12 31
Explanation / Answer
a) null hypothesis: Ho: music type is independent of likelihood that a woman
will give her phone number to a man she has just met
alternate hypothesis:Ha:music type is not independent of likelihood that a woman
will give her phone number to a man she has just met
applying chi square test of independence:
for above test stat 5.369 at 1 degree of freedom ; p value =0.020
as p value is less then 0.05 level ; we reject null hypothesis.
we have suffcient evidence that romantic background
music increases the likelihood that a woman
will give her phone number to a man she has just met
b) phi coefficient =(X2/n)1/2 =(5.369/87)1/2 =0.2484
Observed O yes no Total Romantic 23 21 44 Neutral 12 31 43 Total 35 52 87 Expected E=rowtotal*column total/grand total yes no Total Romantic 17.701 26.299 44 Neutral 17.299 25.701 43 Total 35 52 87 chi square =(O-E)^2/E yes no Total Romantic 1.586 1.0676 2.654 Neutral 1.623 1.092 2.716 Total 3.209 2.160 5.369