Problem

The city of Raleigh has 7,400 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 400 randomly selected registered voters was conducted. 232 said they'd vote for Brown, 139 said they'd vote for Feliz, and 29 were undecided.
This sample statistic suggests that we might expect how many of the 7,400 registered voters to vote for Brown.

Answer

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Answer

Final Answer: Based on the sample statistic, we might expect approximately \(\boxed{4292}\) of the 7,400 registered voters to vote for Brown.

Steps

Step 1 :Given that the city of Raleigh has 7,400 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 400 randomly selected registered voters was conducted. 232 said they'd vote for Brown, 139 said they'd vote for Feliz, and 29 were undecided.

Step 2 :We are asked to predict how many of the 7,400 registered voters will vote for Brown based on the sample statistic. The sample statistic is that 232 out of 400 voters said they'd vote for Brown. This is a proportion, and we can use it to predict the number of voters out of the total 7,400 who will vote for Brown.

Step 3 :To do this, we need to calculate the proportion of voters in the sample who said they'd vote for Brown, and then apply this proportion to the total number of voters. The proportion of voters in the sample who said they'd vote for Brown is \(\frac{232}{400} = 0.58\).

Step 4 :We then apply this proportion to the total number of voters to predict the number of voters who will vote for Brown. This gives us \(0.58 \times 7400 = 4292\).

Step 5 :Final Answer: Based on the sample statistic, we might expect approximately \(\boxed{4292}\) of the 7,400 registered voters to vote for Brown.

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