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A number of grade school students were asked about their perceived math ability and the results are in the table below.

Below Average = BA
Average = A
Above Average = AV
Girls 61 54 21
Boys 43 61 42

Test at the 0.01 level if there is a difference between girls and boys with respect to their perceived math ability.

  • Statistics -

    Use the Chi-square (X^2) method.

    X^2 = ∑ (O-E)^2/E, where O = observed frequency and E = expected frequency.

    ∑ = sum of all the cells.

    E = (column total * row total)/grand total

    df = n - 1, where n = number of cells

    Look up value in X^2 table in the back of your textbook.

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