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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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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