She manufactures a perfume that has a pleasant, but nondistinctive scent. She th
ID: 3436087 • Letter: S
Question
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
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
Explanation / Answer
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.
Results Glory Daze Seduction MOrning list Lanoha Row Totals Males 12 (9.84) [0.47] 53 (35.23) [8.96] 28 (35.75) [1.68] 7 (19.17) [7.73] 100 Females 7 (9.16) [0.51] 15 (32.77) [9.63] 41 (33.25) [1.81] 30 (17.83) [8.31] 93 Column Totals 19 68 69 37 193 (Grand Total)Related Questions
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