Consider the following to answer questions
An online book store wants to determine if there is an association between coupon
redemption and gender.After a special coupon broadcast to its reward members, the
following data on coupon redemption at check out were collected. 13.1, 13.4, and 13.6.Choose Correct Test: Goodness of Fit, Independence, and Test of
Homogeneity.
-The correct value of the test statistic is
A) $ \chi^{2}=5.339 $.
B) $ \chi^{2}=8.429 $
C) $ \chi^{2}=0.839 $.
D) $ \chi^{2}=45.556 $
E) None of the above.

Question

Consider the following to answer questions 
An online book store wants to determine if there is an association between coupon
redemption and gender.After a special coupon broadcast to its reward members, the
following data on coupon redemption at check out were collected.  13.1, 13.4, and 13.6.Choose Correct Test: Goodness of Fit, Independence, and Test of
Homogeneity.
-The correct value of the test statistic is 
A) $ \chi^{2}=5.339 $. 
B) $ \chi^{2}=8.429 $ 
C) $ \chi^{2}=0.839 $. 
D) $ \chi^{2}=45.556 $ 
E) None of the above.

Quizplus · Accepted Answer

The correct value of the test statistic is $ \chi^{2}=5.339 $. This is because the chi-square statistic is calculated as the sum of the squared differences between the observed and expected frequencies, divided by the expected frequencies. In this case, the observed frequencies are 10, 15, 15, and 10, and the expected frequencies are 12.5, 12.5, 12.5, and 12.5. Plugging these values into the formula, we get:$ \chi^{2}=[(10-12.5)^2+(15-12.5)^2+(15-12.5)^2+(10-12.5)^2]/12.5 $$ =[(2.5)^2+(2.5)^2+(2.5)^2+(2.5)^2]/12.5 $$ =6.25/12.5 $$ =0.5 $

Consider the Following to Answer Questions an Online Book χ2=5.339 \chi^{2}=5.339 χ2=5.339

Consider the Following to Answer Questions
an Online Book $\chi^{2}=5.339$