Question

In: Statistics and Probability

As a consultant, you need to use the Hospital database and construct a 90% confidence interval...

As a consultant, you need to use the Hospital database and construct a 90% confidence interval to estimate the average census for hospitals. Change the level of confidence to 99%. What happened to the interval? Did the point estimate change?

Determine the sample proportion of the Hospital database under the variable “service” that are “general medical” (category 1). From this statistic, construct a 95% confidence interval to estimate the population proportion of hospitals that are “general medical.” What is the point estimate? How much error is there in the interval?

Suppose you want to “prove” that the average hospital in the United States averages more than 700 births per year. Use the hospital database as your sample and test this hypothesis. Let alpha be 0.01.

On average, do hospitals in the United States employ fewer than 900 personnel? Use the hospital database as your sample and an alpha of 0.10 to test this figure as the alternative hypothesis. Assume that the number of births and number of employees in the hospitals are normally distributed in the population.

Census Births Personnel
144.095 874.045 861.5 Mean
102.5 480 589.5 Median
28 0 328 Mode
Range
2 0 50 Minimum
1106 5699 4087 Maximum
149.5661598 1063.665622 821.5969925 S. Deviation
22370.03616 1131384.56 675021.6181 Variance
103.7969116 121.6946064 95.36819414 C.V.
5 Number Summary
47.75 0 314 Quartrile 1
181.75 1309.25 1095.25 Quartrile 3

Part 3 - Inferential Statistics (2-3 paragraphs)

Use the Part 3: Inferential Statistics document.

  • Create (formulate) hypotheses
  • Run formal hypothesis tests
  • Make decisions. Your decisions should be stated in non-technical terms.

Solutions

Expert Solution

Question 1 solved completely.

As a consultant, you need to use the Hospital database and construct a 90% confidence interval to estimate the average census for hospitals

Change the level of confidence to 99%. What happened to the interval? Did the point estimate change?

The confidence interval increased but the point estimate is the same.


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