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Mathematics, 30.03.2020 22:52 lizzyhearts

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. For each statement, select whether it can be concluded from the ANOVA test or cannot be concluded from the ANOVA test.

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