A simple test of a single multinomial experiment can be set up by considering whether the proportions of male and female statistics students are the same—that is, 5.5 1 p and 5.5 2 p .

1. There are two categories—F and M—with observed cell counts 544 1 O and 556 2 O and expected cell counts 5 5100(.5)550 1 2 E E . Using the TI-84 Plus, select stat ➤

EDIT and enter the observed and expected cell counts into lists 1 L and 2 L , respectively.

2. Select stat ➤ TESTS ➤ D: 2GOF Test x - and press enter to see the screen in Figure 14.9(a). Make sure that L1 is selected for “Observed” and L2 is selected for

“Expected.” Type the appropriate degrees of freedom—in this example, df 5k2151 3. When you highlight Calculate and press enter, the results will appear on the screen

(Figure 14.9(b)). The observed value of the test statistic X2 51.44 and its p-value50.230 indicate a nonsignificant result. There is insufficient evidence to indicate a difference in the proportion of male and female statistics students.

Figure 14.9 NORMAL FLOAT AUTO REAL RADIAN MP xGOF-Test Observed: L1 Expected: L2 df:1 Color: BLUE Calculate Draw (b) NORMAL FLOAT AUTO REAL RADIAN MP - x=1.44 xGOF-Test P=0.2301393342 df=1 CNTRB={0.72 0.72)