Suppose that the medical staffing dictates that the results of a given laborator

Question

Suppose that the medical staffing dictates that the results of a given laboratory procedure must be available 30 minutes after the physician submits a request for the service. In this situation, if the results arrived 30 minutes or less after the request, we regard the performance of the laboratory as timely. If results arrived more than 30 minutes after the request, we regard the performance as tardy. Focusing on the day, evening, and night shifts, suppose that we selected a random sample and obtained the following results: Test the proposition that the performance of the laboratory is independent of shift. Alpha=0.05

Timely/Tardy

Day= 100/20

Eve= 80/30

Night= 40/40

Explanation / Answer

Null Hypothesis: Performance is independent of shift

Assume Performace = Timely / total

Day (Timely/Tardy) = 100/20

Performance = 100/120 = 83.33%

Eve (Timely/Tardy) = 80/30

Performaance = 80/110 = 72.72%

Night (Timely/Tardy) = 40/40

Performance = 40/80 = 50%

Alpha is 5% i.e. if performance varies by 5 % percentage from one shift to other shift then our hypothesis is correct.

But in our case in night performance is 50 % and Day it's 83% i.e. more than alpha(5%)

So our our Hypothesis is rejected

i.e. performance is dependent on shifts

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