Market researchers know that background music can influence

Market researchers know that background music can influence the mood and purchasing behavior of customers. One study in a supermarket in Northern Ireland compared three treatments: no music, French accordion music, and Italian string music. Under each condition, the researchers recorded the numbers of bottles of French, Italian and other wine purchased. Here is the two-way table that summarizes the data: Is there a relationship between the type of wine purchased and the type of music that is playing? Give the details of the significance test that you perform to answer this question.

Solution

H0: There is no relationship between type of wine and type of music

Ha: There is association between them.

Chi square table

The chi-square statistic is 18.2792. The P-Value is 0.001088. The result is significant at p < 0.05.

As p value is very small reject null hypothesis.

Hence as per chi square test there is statistical evidence to show that there is relationship between the type of wine and the type of music.

	None	French	Italian			Row Totals
French	30  (34.22)  [0.52]	39  (30.56)  [2.33]	30  (34.22)  [0.52]			99
Italian	11  (10.72)  [0.01]	1  (9.57)  [7.67]	19  (10.72)  [6.40]			31
Other	43  (39.06)  [0.40]	35  (34.88)  [0.00]	35  (39.06)  [0.42]			113
Column Totals	84	75	84			243  (Grand Total)