question archive England General Hospital generally expects 60 patients per day who require urgent care, on average
England General Hospital generally expects 60 patients per day who require urgent care, on average
Subject:MathPrice:9.82 Bought3
England General Hospital generally expects 60 patients per day who require urgent care, on average. However, in the past 80 days, the data shows that there are on average 57 urgent cases per day, with a standard deviation of 5. The number of urgent cases has significantly deviated from the expectation of the hospital, at the 5% significance level.
True or False . Justify your answer
Purchase A New Answer
Custom new solution created by our subject matter experts
GET A QUOTE
Answer Preview
Answer and explanation provided below. Keep safe
Step-by-step explanation
Using P-value procedure;
Hypothesis Test:
Null Hypothesis, Ho: m = 60
Alternative Hypothesis, Ha: m not equal to 60
Test statistic:
z=(xbar - mu)/(sigma/sqrt(n))
z=(57- 60)/(5/sqrt(80))
Z= -5.36656
P-value Approach,
Using excel function,
P-value =T.DIST.2T(5.36656,80-1) = 0.00000078
Conclusion,
As P-value is significantly small. Reject the null hypothesis.
There is sufficient evidence to support the claim. Hence, TRUE.
