Question

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)

  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 (b)

  An instructor tests whether class attendance (low, high) and grade point average (low, 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 sports psychologist compares the number of athletes 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

ANSWER::

a.

Chi square test of independence is appropriate to test the independence of professor's speaking style and student's interest.

Df = ( 2-1)×(3-1) = 2

b.

Chi square test for independence is appropriate to test the independence of class attendance and grade point average.

Df = (2-1) × ( 3-1 ) = 2

c.

Chi square goodness of fit test is appropriate to test whether the observed and expected frequencies are significantly different.

Df= sample size - 2 (iam not sue for this ) i hope it is correct...if not please comment i will upadate the answer.

d.

Chi square goodness of fit test is appropriate

Df = sample size -1

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