1. 425 school children were surveyed about what they want to be when they grow up, out of a choice of five professions. The results were Teacher 80, Doctor 105, Lawyer 70, Police officer 70, Firefighter 100. 

 

a. Obviously these particular children preferred some occupations over others. Test whether their preference reflects a real difference in the population or not. 

 

b. Which of the categories contributed the most to the chi-squared test statistic? 

 

 

 

 

2. How many degrees of freedom does a chi-squared Goodness of Fit test have? 

 

 

 

 

3. For a chi-squared Goodness of Fit test, what are the null and alternate hypotheses? 

 

 

 

4. What is the shape of a chi-square distribution? What happens to the shape as the degrees of freedom increases?

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