She manufactures a perfume that has a pleasant but nondistin

She manufactures a perfume that has a pleasant, but nondistinctive scent. She then puts this perfume in four identical bottles but puts a different name on each bottle label. She randomly selects 100 men and 100 women from a shopping mall and after letting them smell each bottle, asks them to select the perfume that they would most likely buy. She obtains the following distribution. She assumed that the numbers would be equal across all cells. Using a Chi square, determine if there is a significant difference between the males and females in their choices of perfumes based on names and report the results at the alpha = 0.05 level.

Glory Daze

Seduction

Morning Mist

Lanoha

Totals

Males

12

53

28

7

100

Females

7

15

41

30

93

Totals

19

68

69

37

193

Solution

H0: All groups are independent of gender

Ha: At least 2 groups are different.

Chi square test two tailed

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The chi-square statistic is 39.0952. The P-Value is < 0.00001. The result is significant at p < 0.05.

Hence there is significant difference between genders.