Suppose that a team of campaign volunteers surveyed 200 likely voters to gauge s

Question

Suppose that a team of campaign volunteers surveyed 200 likely voters to gauge support of a school levy that will be on the ballot in an upcoming election. Respondents were asked whether they support the levy and whether they have children attending school in the district. The results of this survey are shown below.

What is the probability that a randomly selected respondent supports the levy given that he or she has children in the district? Give your answer as a percentage, precise to one decimal place.

What is the probability that a randomly selected respondent has children attending school in the district given that he or she supports the levy? Give your answer as a percentage, rounded to one decimal place.

*not 70 and 61

Support levy Opposed to levy Have children attending school in district 67 28 Have no children attending school in district 42 63

Explanation / Answer

1. P(Supports Levy | Has children) = N(Supports Levy and Has children) / N(Has children)

= 67 / (67+28)

= 70.5%

2. P(Has children | Supports levy) = N(Supports Levy and Has children) / N(Supports levy)

= 67 / (67+42)

= 61.5%

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