A researcher selects a sample of 100 people to investigate the relationship betw

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

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 observed frequency for registered males?

Explanation / Answer

From given information, we can construct contingency table as follow,

We have,

Now, We can find other quantiies,

Hence, From table, The value corresponding male and registered is : 40.

Therefore, The observed frequency for registered males is : 40

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