Topic: Categorical Dependent Variables: You want to test to see if there is a relationship between...

Topic: Categorical Dependent Variables: You want to test to see if there is a relationship between whether or not someone has blue eyes and whether or not they have blond hair. You collect data and observe the results in the following table.

Observed Blue Eyes Not Blue Eyes Total

Blonde Hair 39 86 125

Not Blonde Hair 90 273 363

Total 129 359 488

1. If the two variables are independent, what would you estimate is the probability of observing exactly 39 blue eyed blonde haired people in a group of this size?

2. If the two variables are independent, how many blue eyed blonde haired people would you expect in a group of this size?

3.What is the relative risk when having a blue eyes is defined as a success and interpret the relative risk in the context of the table.

4. Calculate and interpret the odds ratio of having a blue eyes is defined as a success.

5. Use a CHI-Square (X²) test to either reject or accept the null hypothesis that these two variables are independent. Eplain your results with the p-value.

Subject is Statistics

Expert Solution

orchestra answered 2 years ago

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