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 are used for a chi-square test for independence, what is the expected frequency for registered females?

Respuesta :

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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