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Mathematics 7 Online
OpenStudy (anonymous):

A simple random sample of voters is taken from the voters in a large state. Using the methods of our course, researchers construct an approximate 99% confidence interval for the percent of the state’s voters who will vote for Candidate A. The interval goes from 37.3% to 48.7%. In the sample, the percent of voters who will vote for Candidate A is equal to ____________%.

OpenStudy (anonymous):

wait

OpenStudy (anonymous):

Percent = desired outcome divided by total possibilities. In the case of a test score: Grade (or percent) = correct answers divided by total questions.

OpenStudy (anonymous):

i have 99% -> +-2.575

OpenStudy (anonymous):

Sorry, I thought this was going to be a pre-algebra question. Maybe @agent0smith can help when he comes online.

OpenStudy (anonymous):

is ok.. thanks..

OpenStudy (anonymous):

@Nurali

OpenStudy (anonymous):

someone

OpenStudy (anonymous):

@texaschic101 @music101 Can you help or do you know someone who can?

OpenStudy (anonymous):

no.. but thank you for you help

OpenStudy (texaschic101):

I am not sure...sorry

OpenStudy (texaschic101):

what are the methods in your course ?

OpenStudy (anonymous):

OpenStudy (anonymous):

an example

OpenStudy (texaschic101):

@phi ...can you help

OpenStudy (texaschic101):

if anybody knows, he does

OpenStudy (phi):

I think they want the mid point in the confidence interval

OpenStudy (anonymous):

mid point - + 2.575 * (SD/sqr(the voters in a large state)) =S

OpenStudy (anonymous):

SD = standard deviation

OpenStudy (phi):

no, the question asks the percent of voters who will vote for Candidate A so the answer is a per cent. they give you a confidence range which is centered around the per cent who will vote for A

OpenStudy (phi):

so they want the center of the confidence range. the middle number of the range 37.3% to 48.7%.

OpenStudy (anonymous):

mm ( 37.3 +48.7 )/2 ?

OpenStudy (phi):

yes

OpenStudy (anonymous):

ohhh jajaj thanks

OpenStudy (phi):

the idea is they took a poll, and got 43% as how many are voting for A. they then figured out the confidence range... you just used the confidence range to figure out what the poll came up with.

OpenStudy (anonymous):

mm okok

OpenStudy (anonymous):

for example other question . An approximate 95% confidence interval for the percent of the state’s voters who will vote for Candidate A goes from _________% to _________%.

OpenStudy (anonymous):

43 - + 1.96 * (SD/sqr(the voters in a large state)) ? .. or ...

OpenStudy (phi):

you need to find the standard deviation from the info given then do 43 ± x * std dev where x is the multiple used for 95% confidence

OpenStudy (phi):

yes, but SD/stuff is the same thing they used for the 99% confidence interval figure out what they used, and use it for your question

OpenStudy (anonymous):

wait.. If the population size is not given, you can assume that the correction factor for standard errors is close enough to 1 that it does not need to be computed... =S so is SD =1 ?

OpenStudy (phi):

researchers construct an approximate 99% confidence they used SD (adjusted for the population). whatever they used, you use

OpenStudy (anonymous):

OpenStudy (anonymous):

so 43 - + 1.96 * (1/ SQR (n = (.43)(.57)*(1.96/E ))?

OpenStudy (anonymous):

SD is 5.7 ?

OpenStudy (anonymous):

43-37.3 = error

OpenStudy (anonymous):

so 43 - + 1.96 * (1 / SQR ((0,43) (0,57) * (1.96 /5.7 ))

OpenStudy (anonymous):

is correct ?

OpenStudy (anonymous):

hello ?

OpenStudy (texaschic101):

I told you phi was good :)

OpenStudy (anonymous):

=D thanks so much.. jejje..

OpenStudy (anonymous):

xˉ±zα/2×SE ok ... so 43+- 1.96 (SE) SE = ?

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