Question

For each hypothesis, the specific statistical test appropriate for testing the hypothesis should be described and a brief description of why the chosen test is most appropriate should be included.

One Sample t-test, Two sample t-test, Two related (correlated/paired/dependent)sample t-test, One Factor (one way) analysis of variance (ANOVA), Factorial for two way/facot Analysis of Variance (Anova), One Variable Chi-Square test, two variable chi square test, correlation, or linear regression

Example: 1. People who work in a sedentary job are more likely to have arthritis thanpeople who do not work in a sedentary job.

Two variable chi-square test (test for/of independence) – Both variables arenominal, so a two variable chi-square test would be the most appropriate test to choose.

Please help with:

1. There is a relationship between the risk of developing type 2 diabetes comparing people of different education levels.

2. There is a relationship between the risk of developing type 2 diabetes comparing people of different socioeconomic status. Or People with a lower yearly are more likely to be at risk for type 2 diabetes than those with a high yearly salary (socioeconomic status).

Answer 1

1. There is a relationship between the risk of developing type 2 diabetes comparing people of different education levels.

Answer: One Factor analysis of variance (ANOVA) : There may be more than 2 group of people to be compared (uneducated, Graduate level, Post graduate level, Phd level). so ANOVA Test would be most appropriate test to choose.

2. There is a relationship between the risk of developing type 2 diabetes comparing people of different socioeconomic status. Or People with a lower yearly are more likely to be at risk for type 2 diabetes than those with a high yearly salary (socioeconomic status).

Answer: A Two sample t-test : There are two group of people to be compared.