Results 1 to 4 of 4

Math Help - Testing Hypothesis

  1. #1
    Banned
    Joined
    Dec 2008
    From
    Mauritius
    Posts
    523

    Testing Hypothesis

    The following table gives the observed and expected frequencies in tossing a dice 120 times. For testing the hypothesis that the dice is fair , one is required to compute \chi^2
    Find the value.

    <br />
\begin{array}{|c|c|c|c|c|c|c|c|} <br />
Dice\ face&1&2&3&4&5&6\\<br />
\hline<br />
Observed\ frequency&25&17&15&23&24&16\\<br />
\end{array}<br /> <br />
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    May 2006
    Posts
    244
    Quote Originally Posted by zorro View Post
    The following table gives the observed and expected frequencies in tossing a dice 120 times. For testing the hypothesis that the dice is fair , one is required to compute \chi^2
    Find the value.

    <br />
\begin{array}{|c|c|c|c|c|c|c|c|} <br />
Dice\ face&1&2&3&4&5&6\\<br />
\hline<br />
Observed\ frequency&25&17&15&23&24&16\\<br />
\end{array}<br /> <br />
    First compute the expected frequencies under the hypothesis

    <br />
\begin{array}{|c|c|c|c|c|c|c|c|} <br />
\hline<br />
Dice\ face&1&2&3&4&5&6\\<br />
\hline<br />
Observed\ frequency&25&17&15&23&24&16\\<br />
\hline<br />
Expected\ frequency&20&20&20&20&20&20\\<br />
\hline<br />
\end{array}<br /> <br />

    Now look up the \chi ^2 test equations.

    .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Dec 2008
    From
    Mauritius
    Posts
    523

    hw did u get E[x]

    Quote Originally Posted by Constatine11 View Post
    First compute the expected frequencies under the hypothesis

    <br />
\begin{array}{|c|c|c|c|c|c|c|c|} <br />
\hline<br />
Dice\ face&1&2&3&4&5&6\\<br />
\hline<br />
Observed\ frequency&25&17&15&23&24&16\\<br />
\hline<br />
Expected\ frequency&20&20&20&20&20&20\\<br />
\hline<br />
\end{array}<br /> <br />

    Now look up the \chi ^2 test equations.

    .
    Hw did u get Expected frequency as 20

    isnt E[x] = x f(x) = 7/2
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    May 2006
    Posts
    244
    Quote Originally Posted by zorro View Post
    Hw did u get Expected frequency as 20

    isnt E[x] = x f(x) = 7/2
    There are 120 throws and 6 equally likely outcomes, hence the expected frequency of each outcome is 120/6=20.
    This is the expected number of 1, 2, .. 6's in 120 throws.


    .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hypothesis testing.
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: July 7th 2010, 08:26 PM
  2. Hypothesis testing help !
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: April 22nd 2010, 01:48 PM
  3. Hypothesis testing.
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: April 22nd 2010, 04:57 AM
  4. Hypothesis testing
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: April 17th 2010, 03:57 PM
  5. Hypothesis Testing!
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: August 4th 2008, 07:45 PM

Search Tags


/mathhelpforum @mathhelpforum