In: Statistics and Probability
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.
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.