chi-square GOF Test Quiz

How many degrees of freedom will be present?

• 4
• 5
• 6
• 7

The bigger the chi-square statistic, the ________.

• bigger the p-value will be.

• smaller the p-value will be.

• p-value will be equal to the chi-square.

• p-value will have no effect.

What is the expected value for all cells, if we assume that this is a fair six sided die?

• 96
• 16
• 8
• 1/6

What statistical model does this graph illustrate?

• normal model

• t model

• chi square model

• Super model

The table shows the number or babies born on each day of the week.  Is there evidence that births are more likely on specific days of the week?

• yes, the p value is greater than .05
• no evidence, the p value is less than .05
• yes, the p value is less than .05
• no evidence, the p value is greater than .05

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

In a chi square goodness of fit test, you must have

• counts for two categorical variables
• proportions for one categorical variable
• counts for one categorical variable
• proportions for two categorical variables

Is there evidence that income levels are not evenly distributed across the entire population?  What is the p value and chi square statistic?

• yes,  p value is 0, chi square statistic = 92.11
• yes, p value is .242, chi square statistic = 43.98
• no, p value is 0, chi square statistic = 92.11
• no, p value is 2.42, chi square statistic = 43.98

A national survey in England was done to find the type of gifts grandparents were likely go purchase for their grandchildren.  It was found that 38% bought gift certificates, 24% bought cuddly stuffed toys, and the remainder bought cinema tickets. 
The table shown above are the results from a questionaire given to a random sample of 1000 grandparents in Little Rock, Arkansas.  Is there evidence that these American grandparents buy gifts in significantly different proportions than English grandparents?

• yes, there is evidence, p value is less than .05
• no evidence, p value is less than .05
• yes, there is evidence, p value is greater than .05
• no evidence, p value is greater than .05