Exercise
Identifying Misconceptions in Two-Way Tables
Identify common errors and misconceptions when reading and analyzing two-way tables. Practice evaluating calculations and table interpretations for accuracy.
Questions
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MultiChoice
A student claims joint relative frequency is calculated by dividing a cell count by its row total. What is the mistake?
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MultiChoice
Why is it misleading to compare raw count frequencies between two groups of vastly different sample sizes?
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MultiChoice
What value must always equal 1.0 or 100% in a complete table of relative frequencies?
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MultiChoice
How does conditional relative frequency differ from joint relative frequency?
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MultiChoice
What type of frequency is obtained by dividing a row total by the grand total?
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MultiChoice
If Group A has 40 sports players and Group B has 30 sports players, does Group A necessarily have a higher rate of sports participation?
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MultiChoice
If row relative frequencies are identical across all rows, what does this indicate about the relationship between variables?
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MultiChoice
True or False: A cell frequency can be greater than its corresponding marginal total.
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MultiChoice
When constructing row conditional relative frequencies, what must the sum of frequencies across any given row equal?
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MultiChoice
When constructing column conditional relative frequencies, what must each column total equal?
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MultiChoice
Which condition is necessary for data to be displayed in a standard two-way frequency table?
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MultiChoice
Why do statisticians convert frequency tables to relative frequency tables?