The 2006 Expedia Vacation Deprivation Survey described the results of a poll of

Question

The 2006 Expedia Vacation Deprivation Survey described the results of a poll of working adults in Canada. Each person in a random sample was classified according to gender and the number of vacation days he or she usually took each year. The resulting data are summarized in the given table. Is it reasonable to conclude that there is an association between gender and the number of vacation days taken? Test the appropriate hypotheses using a .05 significance level. (Use 2 decimal places.)

2 =  
P-value interval

p < 0.0010.001 p < 0.01    0.01 p < 0.050.05 p < 0.10p 0.10

There is  ---Select--- enough sufficient evidence not enough sufficient evidence to conclude that there is an association between gender and the number of vacation days taken.

Days of Vacation Gender Male Female None 51 42 1-5 21 25 6-10 67 79 11-15 105 95 16-20 71 70 21-25 82 58 More than 25 118 79

Explanation / Answer

from above

2 = 9.93

P-value interval =p 0.10

There is not  enough sufficient evidence to conclude that there is an association between gender and the number of vacation days taken.

Observed O none 1-5 6-10 11-15 16-20 21-25 25 or more Total male 51 21 67 105 71 82 118 515 female 42 25 79 95 70 58 79 448 Total 93 46 146 200 141 140 197 963 Expected E=rowtotal*column total/grand total none 1-5 6-10 11-15 16-20 21-25 25 or more Total male 49.735 24.600 78.079 106.957 75.405 74.870 105.353 515 female 43.265 21.400 67.921 93.043 65.595 65.130 91.647 448 Total 93 46 146 200 141 140 197 963 chi square =(O-E)^2/E none 1-5 6-10 11-15 16-20 21-25 25 or more Total male 0.032 0.5269 1.5720 0.0358 0.2573 0.6790 1.5182 4.621 female 0.037 0.606 1.807 0.041 0.296 0.781 1.745 5.313 Total 0.069 1.133 3.379 0.077 0.553 1.459 3.263 9.934

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