x2? Value? Without performing actual calculations, examine the frequencies in the table given with Exercise 1. Do you expect the value of the ?x2? test statistic to be large or small? Do you expect the P? ?-value to be large or small? Explain. Exercise 1 Quality Family Time? The table below lists days of the week selected by a random sample of 1005 subjects who were asked to identify the day of the week that is best for quality family time (based on results from a Pillsbury survey reported in ?USA Today?). Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. If we test that claim using the goodness-of-fit test described in this section, what is it that we actually test?

Solution 3BSC T S M W F u Th S u o e r e urs at n n d i s 5 3 2 1 4 2 9 11 8 0 9 1 3 2 Step 1 Here, we see that the above frequency ranges from 9 to 523. It is expected to be small, since we get large value for chi-square test statistic and inversely related P-value. Hence, the P-value is expected to be small.