A poll conducted among a nationwide random sample of 84 registered voters, asked

Question

A poll conducted among a nationwide random sample of 84 registered voters, asked those adults about their party affiliation and their gender. The results are shown in the table below.

What proportion of Females are Independent?  (round your answer to three decimal places)

This proportion is part of

conditional distribution of gender given political party

conditional distribution of political party given gender

marginal distribution of gender

marginal distribution of political party

.

Explanation / Answer

We have to calculate P(Independent | female) = ?

P(Independent | female) = n(Independent and female) / n(Female)

= 24 / ( 12 + 21 + 24)

= 24 / 57

= 0.421

This proportion is part of

Conditional distribution of political party given gender.

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