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Test at a 5% significance level whether or not Gender and Opinion are independent. Then check
the expected frequencies for any possible practical significant differences between the associated
observed and expected frequencies.
First the data has to be stored differently than in previous statistical test on the calculator. The
data for a Chi-Square test of independence has to be stored in a Matrix.
Press the 2
nd
key and then the x
-1
key to get to MATRX.
Press the ► key twice to highlight EDIT.
Press the ENTER key.
After MATRIX [A] type in 2 x3.
The 2 represents the number of rows in the table.
The 3 represents the number of columns in the table.
Enter the data values into the matrix as they appear in
the table.
Press the STAT key.
Press the ► key twice to get to TESTS.
Press the ALPHA key and then the PRGM key
to get to C: X2-Test…
The X2-Test output shows:
That the observed values are in matrix A
That the expected values are in matrix B
Move the cursor to Calculate and press the ENTER key.
This X
2
-Test output show the:
Test statistic: X
2
=8.252773109
P-value: P=.0161410986
Degrees of freedom: df=2
70