Question

*4.) For each of the following examples, state whether the chi-square goodness-of-fit test or the chi-square test for independence is appropriate, and state the degrees of freedom (df) for the test.

• Part (a)

  An instructor tests whether class attendance (low, average, high) and grade point average (low, average, high) are independent.
  
  State whether the chi-square goodness-of-fit test or the chi-square test for independence is appropriate.

  chi-square goodness-of-fitchi-square test for independence    

  
  State the degrees of freedom for the test.
  df =

• Part (b)

  A student tests whether the professor's speaking style (monotone, dynamic) and student interest (low, average, high) are independent.
  
  State whether the chi-square goodness-of-fit test or the chi-square test for independence is appropriate.

  chi-square goodness-of-fitchi-square test for independence    

  
  State the degrees of freedom for the test.
  df =

• Part (c)

  A health psychologist records the number of below average, average, overweight, and obese individuals in a sample of college students.
  
  State whether the chi-square goodness-of-fit test or the chi-square test for independence is appropriate.

  chi-square goodness-of-fitchi-square test for independence    

  
  State the degrees of freedom for the test.
  df =

• Part (d)

  A personality psychologist compares the number of single mothers with Type A or Type B personality traits.
  
  State whether the chi-square goodness-of-fit test or the chi-square test for independence is appropriate.

  chi-square goodness-of-fitchi-square test for independence    

  
  State the degrees of freedom for the test.
  df =

Answer 1

a) An instructor tests whether class attendance (low, average, high) and grade point average (low, average, high) are independent.

Chi square test of independence

df=(3-1)*(3-1)=4

b) A student tests whether the professor's speaking style (monotone, dynamic) and student interest (low, average, high) are independent.

Chi square test of independence

df=(2-1) (3-1)=2

c)A health psychologist records the number of below average, average, overweight, and obese individuals in a sample of college students.

Chi square goodness of fit

df=(4-1)=3

d)A personality psychologist compares the number of single mothers with Type A or Type B personality traits.

chi square goodness of fit

df=(2-1)=1