A political action committee wanted to estimate the proportion of county residents who support the installation of red-light cameras throughout the county. They took a random sample of 900 county residents and found that the proportion who wanted to install these cameras was 24% with a margin of error of +/- 3% (with 95% confidence). This implies:

Select one or more:

a. There is a 95% chance that the true proportion of county residents who want the law changed is 24%.

b. We believe that the true proportion of county residents who want the law changed is between 21% and 27%.

c. We are 95% confident that the true proportion of county residents who want the law changed is between 21% and 27%.

d. If we took another sample of 900 residents the sample proportion would definitely be between 21% and 27%.

e. If we take many other samples of 900 residents from this population 95% of them will have a sample proportion that is between 21 and 27%.

f. If we take 1000 other samples of 900 residents from this population, about 950 of them will produce confidence intervals that capture the true proportion.

g. We cannot conclude anything about the population parameter since this is only a sample.

a. There is a 95% chance that the true proportion of county residents who want the law changed is 24%.

b. We believe that the true proportion of county residents who want the law changed is between 21% and 27%.  

c. We are 95% confident that the true proportion of county residents who want the law changed is between 21% and 27%.

Step-by-step explanation:

Population of the study = 900 county residents

Proportion who wanted to install cameras = 24%

Margin of error = +/- 3%, meaning that actual percentage may stand between 21% and 27%

Confidence level = 95%

Hence we can say that there is a 95% level of confidence that the true proportion of county residents who want the law changed is 24%

We can also say that the true proportion of residents who wants the law changed is between 21% and 27% because of the margin of error.

We can also say that we are 95% confident that the second option above would happen because of the confidence level.

idk

step-by-step explanation:

tell you what. i'll find the length of the medians and you can fill in the blanks where they belong.

br

b = (2a,0)

r = (a/2,b/2) remember these things are medians. they go to the 1/2 way point of the line opposite the vertex they face.

br^2 =   (2a - a/2)^2 + (0 - b/2)^2

br^2 = (3/2 a) ^2 + b^2 / 4

br^2 = 9/4 a^2 + b^2 / 4   we need to find some relationship between a and b.

let's try ab = bc  

ab = 2a

bc = (2a - a)^2 + (b - 0)^2

bc = sqrt(a^2 + b^2)

ab = bc

2a = sqrt(a^2 + b^2) square both sides.

4a^2 = a^2 + b^2 subtract a^2 from both sides.

sqrt(3a^2) = sqrt(b^2)

sqrt(3)a = b

let's put b into br^2

br^2 = 9/4 a^2 + 3b^2 / 4

br^2 = 12 a^2 / 4

br^2 = 3a^2 

br = sqrt(3) * a

cp

c = (a,b) ; p = (a,0) this is another application of the distance formula, and it is a good one.

cp^2 = (a - a)^2 + (b - 0)^2

cp^2 = 0 + b^2

cp^2 = b^2 which you can see from the diagram. 

cp = sqrt(b^2)

cp = b but b = sqrt(3) * a 

cp = sqrt(3)*a

aq

a = (0,0)

q = (3/2) a, b/2

aq^2 = (3a/2 -0)^2 + (b/2 - 0)^2

aq^2 = 9a^2/4 + b^2/4

but b = sqrt(3) * a 

aq^2 = 9a^2 / 4 + (sqrt(3)*a)^2 /4

aq^2 = 9 a^2/ 4 + 3 a^2 / 4

aq^2 = 12 a^2/4

aq^2 = 3 a^2

aq = (sqrt  3) * a which agrees with the other two.