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

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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

Tags

CCSS.8.SP.A.4

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

Tags

CCSS.HSS.IC.B.4

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

Tags

CCSS.HSS.IC.B.4