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Using the data below, carry out an hypothesis test to determine whether ....?
there is an association between the colour of olives preferred by respondents and the region in which they live. State your conclusion clearly
Region ....black olives green olives Total
West .......65 .................53 ................118
East ........59 .................76 ................135
South ......48 .................42 ................90
Total .......172 ..............171 ..............343
Use Chi-Square (Excel has this particular function)
row = 3, col = 2
p-value = .153
degree of freedom = (3-1)(2-1) = 2(1) = 2
X^2 computed = 3.76
p (level of significance) = .05
X^2 critical = 5.99
Since X^2 comp < X^2 crit, The null hypothesis is accepted.
Conclusion: There is no association between the colour of olives preferred by the respondents and the region in which they live.
