Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and he is therefore justified starting a funding campaign to add a wing to the hospital. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms

Question

31-03-2020
Mathematics

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Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and he is therefore justified starting a funding campaign to add a wing to the hospital. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms

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dfbustos dfbustos · Answer 1 · 2020-04-02T02:31:30+02:00

Answer:

For this case we want to test if the mean number of filled overnight beds is over 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:

Null Hypothesis: [tex]\mu \leq 523[/tex]

Alternative hypothesis: [tex] \mu > 523[/tex]

And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over 523 is not statistically supported

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if the mean number of filled overnight beds is over 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:

Null Hypothesis: [tex]\mu \leq 523[/tex]

Alternative hypothesis: [tex] \mu > 523[/tex]

And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over 523 is not statistically supported