What kind of problem this is, define any null hypothesis and alternate hypothesis. Include any test statistics and how you test your null hypothesis using that particular test statistic.

In perhaps one of the more (most?) disturbing cases involving patient deaths, some nurses working at the Veteran's Affairs Medical Center in Northampton, Massachusetts noticed an unusually high number of deaths when one specific nurse, Kristen Gilbert, was working. These same nurses also discovered missing supplies of the drug epinephrine, a synthetic adrenaline that stimulates the heart. When seeking a grand jury indictment, prosecutors provided the evidence below. Based upon this data, what is the probability that the difference in shifts with a death is due to random chance? Would you recommend charging Gilbert based upon this data?

	Shifts with a Death	Shifts without a Death
Gilbert was Working	40	217
Gilbert not Working	34	1350