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
BA A 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 - PsyDAG, Monday, December 10, 2012 at 11:55am
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.