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Show all formulas and all work - all work is by hand (may use a calculator) and show two decimal places for answers that require calculations - add additional space (lines) between questions so you have plenty of room to put your answers

1. When would you want to use a Chi-Square test - be specific?

2. The nurses at a hospital believe that there are more babies born when the moon is full than during the other phases of the moon. To test their hypothesis, they obtain the birth records for the past year and record the frequency of births during the full moon and during the new moon (when you can't see the moon). The data are shown below:

Full Moon New Moon 52 28

(a) What test is appropriate for analyzing these data? Why?

(b) Perform the analysis. What conclusions can the nurses make about the number of births during these two phases of the moon - be specific? (6 points) SHOW ALL WORK (hypotheses, DR, formulas, calculations, conclusions, etc.)