Question

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 females?

Answer 1

Answer:

Answer is 28

Step-by-step explanation:

Given that a researcher selects a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote.

The information given with two variables as gender and another variable as registered or non registered can be tabulated as follows:

                       Females       Males     Total

Registered           30               40           70

Non regd.             10                20           30

                    Total 40               60          100

For chi square test of independence we assumed that the two variables are independent.

Hence expected frequency = row total* column total/grand total

For registered females row total = 40 and column total = 70

So expected frequency for regd females = $\frac{40(70)}{100} =28$