A hospital administrator suspects that the proportion of knee surgeries that are successful is 87%. To test this, 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
In this example, the p-value was determined to be 0.004.
Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Select the correct answer below:
There is sufficient evidence to conclude that the proportion of knee surgeries that are successful is 87%.
There is NOT sufficient evidence to concludethat the proportion of knee surgeries that are successful is 87%.
There is sufficient evidence to conclude that the proportion of knee surgeries that are successful is 13%.
There is NOT sufficient evidence to conclude that the proportion of knee surgeries that are successful is 13%.
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