Question 4 (4 points) Suppose the following table represents a simple random sample of hospitals enrolled in a study looking at the relationship between number of beds, and number of physicians working full time at the facility. insidered a censored event, fare Number assume that they coats Number of Physicians of Beds Employed Full Time ZX Zy (X) ( Y) 589 948 0.687 0.640 589 998 0.67943 1.746764 517 820 -0.01941 0.402435 512 738 -0.06794 -0.21686 420 669 -0.96091 -0.73798 597 609 0.757079 -1.19112 644 849 1.213268 0.621455 Assuming all necessary conditions are met, carry out a formal test to determine if there is a correlation between number of beds and number of full-time employed physicians. A) Write out your null and alternative hypotheses. B) Calculate the Pearson's correlation coefficient. C) Calculate the test statistic. D) What is the P value associated with your test statistic. E) Using a=0.05 to determine significance, interpret results