Question

1. - / 1 points 0/100 submissions used listcpalg2 3.4.051. in a poll, 614 people from a sample of 1100 indicated they would vote for the republican candidate. how many votes can the candidate expect to receive from 40,000 votes cast? (round your answer to the nearest vote.) votes resources read it

Explanation:

Step1: Find the proportion of voters

First, we find the proportion of people in the sample who would vote for the Republican candidate. The proportion \( p \) is calculated as the number of favorable responses (614) divided by the sample size (1100). So, \( p=\frac{614}{1100} \).

Step2: Calculate expected votes

To find the expected number of votes from 40,000 votes cast, we multiply this proportion by the total number of votes (40,000). So the expected number of votes \( E \) is \( E = 40000\times\frac{614}{1100} \).
Calculating this: \( 40000\times\frac{614}{1100}=\frac{40000\times614}{1100}=\frac{24560000}{1100}\approx22327.27 \). Rounding to the nearest vote gives 22327.

Answer:

22327