A pollster for an election believes that the age group and socio-economic class of a voter...

A pollster for an election believes that the age group and socio-economic class of a voter may be factors that affect the extent to which that voter will agree with a new range of policies of the current government. A two-way ANOVA test is conducted to test this. Three hypotheses are tested: Test 1 relates to whether age group is a significant factor, Test 2 relates to whether socio-economic class is a significant factor, and Test 3 relates to interaction between these two factors. The levels of age group tested are 18 to 39, 40 to 55, and over 55. The levels of socio-economic class being tested are lower class, middle class, and upper class. In the ANOVA test, the pollster does not reject the null hypothesis in Test 1, rejects the null hypothesis in Test 2, and does not reject the null hypothesis in Test 3. The following table presents four statements relating to this ANOVA test and socio-economic class as a factor in voter agreement with the new government policies.

		Can conclude	Cannot conclude
a)	On average, people in the middle class agree with the new government policies to a different extent than people in the upper class.
b)	All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies.
c)	All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies.
d)	At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies.

Solutions

Expert Solution

test 1 : For age group ( Null hypothesis accepted ) therefore, there is no significance difference among the different age groups affecting the extent to which that voter will agree with a new range of policies of the current government

test 2 : For socio - economic class ( Null hypothesis rejected ) therefore, there is a significance difference among the different socio - economic groups affecting the extent to which that voter will agree with a new range of policies of the current government

test 3 : Combined interaction effect ( Null hypothesis accepted ) therefore, there is no significance combined effect of difference among the different age groups and different socio - economic group affecting the extent to which that voter will agree with a new range of policies of the current government

a) Cannot conclude, since, the only statement can be made is that at least of the three socio-economic group has different affect extent to which that voter will agree with a new range of policies of the current government

b) Cannot conclude, since, the only statement can be made is that at least of the three socio-economic group has different affect extent to which that voter will agree with a new range of policies of the current government , but we can not make a statement about all

c) Cannot conclude, since, the only statement can be made is that at least of the three socio-economic group has different affect extent to which that voter will agree with a new range of policies of the current government , not same affect

d) Can conclude, since, the statement can be made is that at least of the three socio-economic group has different affect extent to which that voter will agree with a new range of policies of the current government

orchestra answered 1 year ago

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