If these data are used for a chi-square test for independence, the expected frequency for registered females is 28
In this question we hvw been given a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote.
From given information we have,
registered non-registered total
male 40 20 60
female 30 10 40
total 70 30 100
We need to find the expected frequency for registered females.
We know that the formula for the expected frequency:
expected frequency = (Row Total * Column Total)/N
Here, Row Total = 40
Column Total = 70
and N = 100
The expected frequency for registered females would be:
E = (40 * 70)/100
E = 2800/100
E = 28
Therefore, the expected frequency for registered females is 28
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