Interpreting Two-Way Tables in Data Analysis

The video tutorial explains the use of a two-way table to analyze gender-based voting preferences during the 2012 United States presidential election. It details the column relative frequencies for men and women, showing that 52% of men and 43% of women voted for Romney. The tutorial concludes that male voters were more likely to vote for Romney than female voters.

What does a two-way table of column relative frequencies represent?

• Comparison between different columns' total values

• Data on one specific category across different groups

• Percentage distribution across different categories for each column

• A method to calculate the mean value of a dataset

What percentage of men voted for Obama in the 2012 election?

• 6%

• 43%

• 42%

• 52%

What percentage of women voted for Romney in the 2012 election?

• 43%

• 5%

• 6%

• 52%

Which candidate received 52% of the female vote?

• None of the above

• Romney

• Other

• Obama

Were male voters more likely to vote for Romney than female voters?

• The data does not provide this information

• Yes, but only slightly more likely

• No, they were less likely

• Yes, significantly more likely

What was the likelihood of a randomly picked man voting for Romney?

• 43%

• 52%

• 6%

• 42%

What was the likelihood of a randomly picked woman voting for Romney?

• 52%

• 5%

• 43%

• 6%

How do the percentages of men and women voting for Romney compare?

• The data does not specify percentages

• More men voted for Romney

• More women voted for Romney

• Equal percentages of men and women voted for Romney

What conclusion can be drawn about male voters' preferences?

• Preferred Other over both Obama and Romney

• Preferred Romney over Obama

• No clear preference

• Preferred Obama over Romney