In a study shop, a set of data was collected to determine whether or not the proportion of defectives produced by workers was the same for the morning, afternoon, or night shift worked. The following data were collected.
SHIFT
Morning Afternoon Night
Defectives 45 55 70
Non-defectives 905 890 870
Use a 0.025 level of significance to determine if the proportion of defectives is the same for all three shifts.