1. Prove that the correlation coefficient for contingency tables, as defined by equation (12) of this chapter, lies between 0 and 1. 2. To test a hypothesis H0, an experiment is performed three times....

1. Prove that the correlation coefficient for contingency tables, as defined by equation (12) of this chapter, lies between 0 and 1.

2. To test a hypothesis H0, an experiment is performed three times. The resulting values of x² are 2.37, 2.86, and 3.54, each of which corresponds to 1 degree of freedom. Show that while H⁰ cannot be rejected at the 0.05 level on the basis of any individual experiment, it can be rejected when the three experiments are combined.