An obstetrician wants to know whether the proportion of children born on each day of the week is the same. She randomly selects 500 birth records and obtains the data shown in Table 3 (based on data obtained from Vital Statistics of the United States, 2012).

Is there reason to believe that the day on which a child is born does not occur with equal frequency at the \(\alpha=0.01\) level of significance?

Approach Follow Steps 1 through 5 presented on pages.