A researcher selects a sample of 100 people to investigate t

A researcher selects a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote. The sample consists of 40 females, of whom 30 are registered voters, and 60 males, of whom 40 are registered voters. If these data were used for a chi-square test for independence, what is the expected frequency for registered males?

Solution

expected frequency for

male

that say yes

60*20 / 100 = 12

male that say no

40*20 / 100 = 8

for female that say yes

60 * 80 / 100 = 48

for female that say no

40*80 / 100 = 32