Question

The city of Raleigh has 9,200 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 200 randomly selected registered voters was conducted. 65 said they'd vote for Brown, 121 said they'd vote for Feliz, and 14 were undecided.
A. what is the population of this survey?B. What is the size of populationC. What is the size of the sampleD. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown.E. Based on the sample, we might expect how many of th 9500 voters to vote for Brown

Answer 1

Answer:

A) The population of this survey is the registered voters in the city of Raleigh.

B) 9500

C) 200

D) 0.325

E) 3088

Step-by-step explanation:

A) The population of this survey is the registered voters in the city of Raleigh.

B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".

d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:

p' = voters for brown / sample size

$p' = \frac{65}{200} = 0.325$

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325

E) The expected number of voters for Brown based on the sample:

0.325 * 9500 = 3087.5

Approximately 3088

The expected number of voters for Brown based on the sample might be 3088 voters.