The chi-square test described in this chapter can be used for tables with more than two rows and/ or columns. Use software (such as Excel), a calculator, or a website to find the p-value for each of the following chi-square statistics calculated from a table of the speci­fied number of rows and columns. You may round off your answer to three decimal places. In each case, specify the degrees of freedom you used to find the p-value. (Remember that in general, degrees of freedom for a table with r rows and c columns are df = ( r – 1) ( c – 1).) Then make a conclusion about whether you would reject the null hypothesis for a test with level 0.05.
a. Two rows and three columns; chi-square statistic = 7.4
b. Three rows and three columns; chi-square statistic - 11.15
c. Four rows and three columns; chi-square statistic = 7.88
d. Four rows and two columns; chi-square sta­tistic = 12.20