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Mathematics 17 Online
OpenStudy (anonymous):

In a random sample of 70 people, it was found that 44 of them were fans of the New York Yankees. What is the margin of error for the true proportion of all individuals who are fans of the New York Yankees? A. 0.0088 B. 0.058 C. 0.063 D. 0.116 E. 0.173

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

any ideas?

jimthompson5910 (jim_thompson5910):

does it mention the confidence level at all?

jimthompson5910 (jim_thompson5910):

that seems to be missing

OpenStudy (anonymous):

no lol, thats exactly what it says

OpenStudy (anonymous):

1 sec

jimthompson5910 (jim_thompson5910):

ok

OpenStudy (anonymous):

OpenStudy (anonymous):

thats all it shows

jimthompson5910 (jim_thompson5910):

ok let me think

OpenStudy (anonymous):

alright

jimthompson5910 (jim_thompson5910):

maybe there's other context somewhere? the reason why the confidence level is important is because the larger the confidence level, the larger the margin of error is

OpenStudy (anonymous):

theres nothing else, maybe the confidence level is one of the choices, idk

jimthompson5910 (jim_thompson5910):

for instance, if the confidence level was 95%, then the margin of error would be ... E = C*sqrt( (p*(1-p))/n ) E = 1.96*sqrt( (44/70*(1-44/70))/70 ) E = 0.11319363939728 E = 0.11319

jimthompson5910 (jim_thompson5910):

but the confidence level is unknown

OpenStudy (anonymous):

should i just guess..

jimthompson5910 (jim_thompson5910):

it could be they're ignoring the critical value (based on the confidence level) this is obviously wrong, but oh well

jimthompson5910 (jim_thompson5910):

sqrt( (p*(1-p))/n ) sqrt( (44/70*(1-44/70))/70 ) 0.05775185683534 0.058 that's one possibility

OpenStudy (anonymous):

its not like it even really matters, i just wanna get it right to have it right, ill just go with that.

OpenStudy (anonymous):

The mean biology score of all undergraduate students at a college in a given year is 67.8, with a standard deviation of 11.5. What is the standard error of the mean for a sample of 70 students?

OpenStudy (anonymous):

is there a formula for that

jimthompson5910 (jim_thompson5910):

use SE = sigma/sqrt(n)

OpenStudy (anonymous):

sigma?

jimthompson5910 (jim_thompson5910):

sigma is the standard deviation

OpenStudy (anonymous):

oh lol sorry i suck at stat

jimthompson5910 (jim_thompson5910):

\[\large \text{sigma} = \sigma\]

jimthompson5910 (jim_thompson5910):

its fine, that's why you practice

OpenStudy (anonymous):

true lol, so much formulas to remember though..

OpenStudy (anonymous):

11.5/67.8(70) ?

OpenStudy (anonymous):

0.116

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