# 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 = 0.87Ha:p ≠ 0.87Find 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:z0.000.010.020.030.040.050.060.070.080.09-2.90.0020.0020.0020.0020.0020.0020.0020.0010.0010.001-2.80.0030.0020.0020.0020.0020.0020.0020.0020.0020.002-2.70.0030.0030.0030.0030.0030.0030.0030.0030.0030.003-2.60.0050.0050.0040.0040.0040.0040.0040.0040.0040.004-2.50.0060.0060.0060.0060.0060.0050.0050.0050.0050.005

Question

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 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
Step 1

The provided information are:

Sample size (n) = 450

Hypothesised proportion (po)=0.87

From the provided setup it is known that the test is two sided.

Step 2

The test statistic can b...

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