Question 1099714: Question number 9
Independent samples of tooth paste users were taken from four villages A, B, C and D. The respondents were asked which one of three common non-prescription painkillers X, Y, and Z they prefer to use. The resulting data are displayed in the table below.
VILLAGE PAINKILLER
X Y Z
A 32 39 12
B 41 23 16
C 16 18 12
D 18 27 25
Use the data to check if there is sufficient evidence to conclude that there is association between the location and the painkiller preferred by the respondents.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Independent samples of tooth paste users were taken from four villages A, B, C and D. The respondents were asked which one of three common non-prescription painkillers X, Y, and Z they prefer to use. The resulting data are displayed in the table below.
VILLAGE PAINKILLER
X Y Z
A 32 39 12
B 41 23 16
C 16 18 12
D 18 27 25
Use the data to check if there is sufficient evidence to conclude that there is association between the location and the painkiller preferred by the respondents.
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Ho: row and column factors are independent
Ha: they are not independent
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Run a Chi-Sq on the data using a TI-83 and TI-84 to get
Chi-Sq = 18.02
p-score = 0.006
Conclusion:: Since the p-score is less than 5%, reject Ho.
Conclusion: The row and column factors are not independent.
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Cheers,
Stan H.
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