Chi Square for Homogeneity

Find the degrees of freedom.

• 4
• 5
• 6
• 7

What must be true about the expected values in a chi square test?

• greater than or equal to 2
• greater than or equal to 5
• greater than or equal to 10
• greater than or equal to 30

Which test would you use to see if the distribution of music that Californians listen to is the same as that of Nevadans?  900 Californians and 600 Nevadans were surveyed.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Which test would you use to see if people on computers and people on handhelds use the same Internet search engines?  1000 web searches from a computer and 1500 web searches from a hand held were tracked to see what search engine was used.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Which test would you use to see if gender is a factor choosing a person’s favorite fruit?  900 college students were surveyed and their favorite fruit recorded.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city.  Currently 42% are Caucasian, 35% are Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The degrees of freedom for the test will be

• 8
• 9
• 10
• 99

The shape of the Chi-Square distribution is ___.

• Left Skewed

• Right Skewed

• Unimodal & Symmetric

• Bimodal & Symmetric

Using a computer program, the chi-square test statistic for the commuter data is c2 = 5.37 with P-value < 0.01.  If we use a = 0.05, what conclusion is appropriate?

• a)Don’t reject H₀; the results are significant.
• b)Don’t reject H₀; the results are not significant.
• c)Reject H_0; the results are significant.
• d)Reject H₀; the results are not significant.

What are the expected counts of a female who likes Pepsi?

• 10.5
• 11
• 14.5
• 6.3