Medical errors are common in hospitals throughout the world. One possible causal factor is the long work hours hospital personnel. In a pilot study investigating the issue, medical residents were encouraged to sleep 6-8 hours per night for a 3-week period instead of their usual irregular sleep schedule. The researchers expected, given previous data, that there would be one medical error per resident per day on the usual irregular sleep schedule. Rate =1 error per day per resident

Suppose two residents participate in the program (each for 3 weeks= 21 days) and cart review inds a total of 20 medical erros made by the two residents combined.

Rate = 20 errors in 21 days per 2 residents .95 error per day per 2 resdients or .4762 errors per day per resident

Implement a poisson hypothesis test and report a 2-tailed p value.