A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To test this claim, a random sample of 450 patients who underwent knee surgery is taken and it is determined that 371 of these patients had a successful knee surgery operation. The following is the setup for this hypothesis test: H0:p = 0.87 Ha:p ≠ 0.87 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve: z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -2.9 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001 -2.8 0.003 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 -2.7 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 -2.6 0.005 0.005 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 -2.5 0.006 0.006 0.006 0.006 0.006 0.005 0.005 0.005 0.005 0.005
A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To test this claim, a random sample of 450 patients who underwent knee surgery is taken and it is determined that 371 of these patients had a successful knee surgery operation. The following is the setup for this hypothesis test: H0:p = 0.87 Ha:p ≠ 0.87 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve: z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -2.9 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001 -2.8 0.003 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 -2.7 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 -2.6 0.005 0.005 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 -2.5 0.006 0.006 0.006 0.006 0.006 0.005 0.005 0.005 0.005 0.005
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To test this claim, a random sample of 450 patients who underwent knee surgery is taken and it is determined that 371 of these patients had a successful knee surgery operation.
The following is the setup for this hypothesis test:
H0:p = 0.87
Ha:p ≠ 0.87
Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.
The following table can be utilized which provides areas under the Standard Normal Curve:
| z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |
| -2.9 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.001 | 0.001 | 0.001 |
| -2.8 | 0.003 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 |
| -2.7 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 |
| -2.6 | 0.005 | 0.005 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 |
| -2.5 | 0.006 | 0.006 | 0.006 | 0.006 | 0.006 | 0.005 | 0.005 | 0.005 | 0.005 | 0.005 |
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