Avoter polling research group determined that 41% of the voters in a country would vote for the democratic candidate with a 4% margin of error. if they anticipate only 12,000 people will turn out to vote in the election, which would represent the possible number of voters for the democratic candidate?
a. 480 to 960 voters

b. 4916 to 4924 voters

c. 4440 to 5400 voters

d. 4680 to 5160 voters

*100% CORRECT ANSWERS

Question 1

Identify the following data set:

...In a study about all of the runners in the Peachtree Road Race last year, the first 10  and the last 50 runners to finish were asked what type of shoe they preferred for the  race.

Sample

Question 2

Identify the following NUMERICAL values:

...the average number of years of experience a teacher has at GCA out of ALL the  teachers at GCA.

Parameter

Question 3

Which type of sampling method is being employed in the following example:

"A study is being conducted at a ride at six flags, where every 5th person is asked how  long had to wait in line."

Systematic Sampling

Question 4

Which type of sampling method is being employed in the following example:

"A newspaper reporter wants to know what the people of Georgia think about the latest  trades the Braves baseball team have made for an article but is running late. So, the  reporter decides to just ask people at the news office what they think to provide a sample  of the public's opinion in the article."

Sampling of Convenience

Question 5

Which type of study best describes the following research most likely to be done?

The bureau of Labor Statistics needs to determine the average hourly wage of teenage  employees for the U.S.government.

Sampling

Question 6

Which type of study best describes the following research most likely to be done?

A researcher believes that headaches can be relived by drinking water flavored by mint  leaves. So the researcher asks a group at the hospital to participate in a study in which  the researcher gives half of the participants in the study just plain water and half the  water flavored by mint leaves to compare the two groups.

Experimental

Question 7

A researcher believes that working out in colder temperatures will burn more calories  because a person has to burn more calories to keep warm. The researcher decides to  study various groups of people working out at different temperatures and measure their  progress.

How would you describe the temperature in the study?

Independent Variable

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1