Charlene Said:

Got sample ballot, didn't get official ballot?

We Answered:

LOL

Carl Said:

Why do college graduates lack understanding of economics?

We Answered:

Liberal professors and teachers (much like Ayers) have made a career out of making sure young people hate and abhor America, not instilling any sense of pride. It's no surprise to me. Good example is a former co-worker who had a teenage daughter....she was outraged that the new coffee shop that opened in town was called Beaners. She claimed it was racist. And, yes, she was serious and stayed on this argument for weeks on end.

Michelle Said:

YAHOO LOTTERY,a fraud?

We Answered:

It's a scam, period .You didn’t enter a lottery, and YAHOO isn’t running a lottery. All you are going to win is an empty bank account and more trouble than you ever dreamed of. Possibly a “courier” bill for a few thousand to “deliver” a “prize” you’ll never see.g. If you want to bother, forward the fraudulent email to phishing@cc.yahoo-inc.com, spam@uce.gov, and 419.fcd@usss.treas.gov.

FBI: http://www.fbi.gov/

FTC: http://www.ftc.gov/

Ivan Said:

Use the data to evaluate Sara’s two proposals. Calculate the probability of rejecting a page under each of th?

We Answered:

The following number of errors out of 200 signatures per page were considered. Using the Binomial distribution, the probability of finding at least 2 errors out of 5 and at least 3 errors out of 10 were computed.

The Binomial distribution has the probability
function P(x=r)= nCr p^r (1-p)^(n-r)
r=0,1,2,.....,n
where nCr = n! / r! (n-r)!

P(at least 2 out of 5)=P(2)+P(3)+P(4)+P(5)
P( at least 3 out of 10) = sum of P(3) through P(10)

The following table gives the probability of rejecting a page under various probabilities. That is if the number of errors were 13, if the number of errors were 38 etc under the two methods.

p----2 or more out of 5------3 or more oout of 10

6/200--------0.008472------------0.002…
7/200--------0.111415------------0.004…
8/200--------0.014758------------0.006…
9/200--------0.018408------------0.008…
10/200-------0.022593------------0.011…
11/200-------0.027055------------0.014…
12/200-------0.031871------------0.018…
13/200-------0.037021------------0.023…
14/200-------0.042493------------0.028…
15/200-------0.048278------------0.033…
17/200-------0.060733------------0.046…
18/200-------0.067381------------0.054…
19/200-------0.007398------------0.061…
20/200-------0.081460------------0.070…
22/200-------0.096512------------0.088…
23/300-------0.104376------------0.098…
38/200-------0.242378------------0.292…
39/200-------0.252513------------0.307…
41/100-------0.272991------------0.337…

Multiply each value by 100 gives the percentage probability.
If more than 38 errors were present in the previous year's signatures, the 3 out of 10 method has a higher probability of rejecting the page..
Otherwise, at least 2 out of 5 has a higher probability of rejecting the whole page.

Actually, the cut-off point is 26. That is if more than 26 invalid signatures were found, the 10-3 method has a higher probability of rejecting the whole page than the 5-2 method. For 25 or fewer invalid signatures,the 5-2 method has a higher probability of rejecting the whole page.

25/200-------0.120728------------0.119…
26/200-------0.129196------------0.130…
30/200-------0.164790------------0.179…

The conclusion would be,
If you suspect only a few number of invalid signatures per page, use the 5-2 method. If you suspect a large number of invalid signatures per page, use the 10-3 method.
If nothing is known, 10-3 uses a larger sample and preferable to the 5-2 method.