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Math Help - helpppp

  1. #1
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    helpppp

    Fifty fifth-grade students from each of four city schools were given a standardized fifth-grade reading test. After grading, each student was rated as satisfactory or not satisfactory in reading ability, with the following results:


    1 2 3 4 School

    7 10 13 6 Not satisfactory

    Is there sufficient evidence to indicate that the percentage of fifth-grade students with an unsatisfactory reading ability varies from school to school?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bombo31
    Fifty fifth-grade students from each of four city schools were given a standardized fifth-grade reading test. After grading, each student was rated as satisfactory or not satisfactory in reading ability, with the following results:


    1 2 3 4 School

    7 10 13 6 Not satisfactory

    Is there sufficient evidence to indicate that the percentage of fifth-grade students with an unsatisfactory reading ability varies from school to school?
    Null hypothesis is that there is no variation between schools. Then the
    expected number not-satisfactory in each school would be 9.

    Then the statistic:

    \chi^2=\sum \frac{(o_i-e_i)^2}{e_i}

    has a (approximatly) \chi^2 distribution with 3 degrees of freedom, where the
    o_is are the observed frequencies and e_i are the expected frequencies.

    RonL
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