Question 750135
a random sample of 500 individuals selected from each of three grouped and each person was asked to specify which of the three brands mobile phone is preferred as shown 
Age group 	M1	M2	M3	Total 
Under 40	        100	50	80	230
45-50	          5	20	120	145
51 and above 	15	30	80	125
Total 	      120	100	280	500
test the hypothesis  that the populations are homogenous with respect to brand mobile phone they prefer at 5% level of confidence

Ho: The row and column factors are homogeneous
Ha: They are not
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test statistic: Chi-Sq = 111.98
p-value: 2.757x10^-23
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Since the p-value is less than 5%, reject Ho at the 5% level of significance.
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Cheers,
Stan H.