question archive A hospital administrator suspects that the proportion of knee surgeries that are successful is 87%

A hospital administrator suspects that the proportion of knee surgeries that are successful is 87%

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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 conclude that 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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