In a certain city, there are about 250,000 eligible voters. A sample of male voters and a sample of female voters were taken to study the relationship between sex and participation in the last election. The results:
Men that voted 850
Women that voted 1024
Men that didn’t vote 750
Women that didn’t vote 976
Is participation in the election the same for males and females?
To determine if participation in the election is the same for males and females, we need to compare the proportions of male and female voters who participated in the election.
The proportion of male voters who participated in the election is calculated as:
Proportion of male voters who participated = Number of male voters who voted / Number of total male voters
Proportion of male voters who participated = 850 / (850 + 750) = 850 / 1600 = 0.53125
The proportion of female voters who participated in the election is calculated as:
Proportion of female voters who participated = Number of female voters who voted / Number of total female voters
Proportion of female voters who participated = 1024 / (1024 + 976) = 1024 / 2000 = 0.512
Comparing these proportions, we can see that the proportion of male voters who participated in the election (0.53125) is slightly higher than the proportion of female voters who participated (0.512). Therefore, participation in the election is not exactly the same for males and females in this certain city.