State which test (z-test, t-test, ANOVA, χ 2 test) is most suitable for each of the following cases: (i) In an election, voters may support the Democrat candidate, Republican candidate, or Independent candidate. A researcher would like to conduct a poll to test if this year the supportive rates of the three candidates follow the same supportive rates as in the last election, which was 60% : 25% : 15%. (ii) A vaccine is developed for preventing the infection of a disease. An experiment is developed to test its effectiveness. 300 volunteers are divided into two groups randomly. One group of participants will take the vaccine and the other group of participants will not take the vaccine but only vitamin. The proportion of participants in the two groups being infected by the disease will be compared. (iii) A researcher wants to conduct a test to verify if children’s outside school learning experiences would be affected by the families’ income level. Family income will be classified as high income, middle income, and low income. The average spending on outside school activities per child per month from the three income levels would be compared.
State which test (z-test, t-test, ANOVA, χ 2 test) is most suitable for each of the following cases:
(i) In an election, voters may support the Democrat candidate, Republican candidate, or Independent candidate. A researcher would like to conduct a poll to test if this year the supportive rates of the three candidates follow the same supportive rates as in the last election, which was 60% : 25% : 15%.
(ii) A vaccine is developed for preventing the infection of a disease. An experiment is developed to test its effectiveness. 300 volunteers are divided into two groups randomly. One group of participants will take the vaccine and the other group of participants will not take the vaccine but only vitamin. The proportion of participants in the two groups being infected by the disease will be compared.
(iii) A researcher wants to conduct a test to verify if children’s outside school learning experiences would be affected by the families’ income level. Family income will be classified as high income, middle income, and low income. The average spending on outside school activities per child per month from the three income levels would be compared.
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