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Estimation theory, need help

  1. May 8, 2010 #1
    I got a question on estimation theory. Can anyone explain it to me or give me a link with some tut and solutions so I can get a better understanding.

    I got a maths question which i have asked for help but no one has replied yet. Since it was a statistical question I should have posted it here.

    The question can be found here:

    I'm stuck on part (b)
    The two issue I think I have with the question are that I don't understand the term "binomial proportion" and estimation theory in general. Can and one explain this to me?
  2. jcsd
  3. May 8, 2010 #2
    Is the "binomial proportion" just the probability the event is successful?
    i.e. for 2 coin toss with 50/ 50 chance of either H or T, the binomial proportion for 2 heads is 1/4?

    Is my understanding correct... or is it something else?
  4. May 14, 2010 #3
    A binomial probability is the probability that a random sample of size n will have an outcome of x. The equation is

    P(x) = n!/(k!-(n-k)!) * pk * qn-k

    where k is number of outcomes you want,
    p is probability of an outcome,
    q is probability of an outcome not happening.

    For example, suppose that there are 999 voters in the US. 599 voters were in favor for a certain candidate. If I randomly select 110 voters out of the population, the probability that 56 voters will be in favor of the candidate is

    110!/(56!-(110-56)!) * .599599656 * .400400454 = 2.2345492668874894732687678194543e+103 * .599599656 *q54 =
    3.632743322467059575061399533725e-13 * q54

    gives me a probability of 1.2443365480583675485269518116737 e-34 :confused:
    Last edited: May 14, 2010
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