Formulate the hypotheses. а. b. Compute the test statistic. Using the p-value approach, test to see if there has been a significant reduction in the average с. length of stay. Let a = .05. d. What does the test result mean in the context of this problem?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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 alt="The management of Regional Hospital has made substantial improvements in their hospital and would like to test and
determine whether there has been a significant decrease in the average length of stay of their patients in their hospital.
The following data has been accumulated before and after the improvements. At the 5% level, test to determine if there
has been a significant reduction in the average length of stay.
After
Before
Sample size
45
56
Mean (in days)
4.6
4.9
Standard Deviation (ơ)
.5
.55
Formulate the hypotheses.
а.
b. Compute the test statistic.
Using the p-value approach, test to see if there has been a significant reduction in the average
с.
length of stay. Let a = .05.
d.
What does the test result mean in the context of this problem?
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