Question

1.2 random sampling and sampling bias: problem 1 (1 point)
the city of raleigh has 9500 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 350 randomly selected registered voters was conducted. 112 said theyd vote for brown, 207 said theyd vote for feliz, and 31 were undecided.
a. what is the population of this survey? registered voters in the city
b. what is the size of the population? 9500
c. what is the size of the sample? 350
d. give the sample statistic for the proportion of voters surveyed who said theyd vote for brown. your answer should be a number between 0 and 1.
e. based on this sample, we might expect how many of the 9500 voters to vote for brown?

Explanation:

Step1: Calculate sample proportion for Brown

The proportion of voters who said they'd vote for Brown in the sample is the number of voters for Brown divided by the sample - size.
$p=\frac{112}{350}$

Step2: Simplify the proportion

$p = 0.32$

Step3: Estimate number of voters for Brown in population

Multiply the proportion of voters for Brown in the sample by the population - size.
$n=0.32\times9500$

Step4: Calculate the result

$n = 3040$

Answer:

d. $0.32$
e. $3040$