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:

There is a relationship between the risk of developing type 2 diabetes comparing people with different levels of active lifestyles.  

People who intake less calories are more likely to be to be at risk of Type 2 diabetes than those who intake a lot of calories.

People who visit their doctor more often are more likely to be at risk for type 2 diabetes than people who visit their doctor less frequent.

People who have health insurance are more likely to be at risk for type 2 diabetes than people who do not have health insurance.

People who watch less television are more likely to get diagnosed with type 2 diabetes than those who watch a lot of television.

People who consume less fruits are more likely to be at risk for type 2 diabetes than those who consume a lot of fruits.

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

There is a relationship between the risk of developing type 2 diabetes comparing people of different socioeconomic status.

There is a relationship between the risk of developing type 2 diabetes comparing people of different race/ethnicity.

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

Answer 1

There is a relationship between the risk of developing type 2 diabetes comparing people with different levels of active lifestyles.  

This will also need chi-square test for independence because there are two levels for diabetes as "With the risk of developing type 2 diabetes and no risk of developing type 2 diabetes" and another variable is levels of active lifestyles this will be treated as the nominal variable. Hence, a two-variable chi-square test would be the most appropriate test