} " align="absmiddle" class="latex-formula"> + 
=
A. 5 000 000^2
B. 7 000 000^2
C. 12 000 000^2
D. 25 000 000^2
A. 5 000 000^2
B. 7 000 000^2
C. 12 000 000^2
D. 25 000 000^2
1 answer:
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I have an expression
floating around in my head; let's see if it makes sense.
The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is
That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:
Plugging in the numbers,
One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.
So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.
Check the picture below.
make sure your calculator is in Degree mode.
make sure your calculator is in Degree mode.