Question

Asked Oct 1, 2019

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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=0.87Ha:p≠0.87

Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.

Step 1

The hypotheses are given below:

*Null hypothesis: *H0:p=0.87

*Alternative hypothesis: *Ha:p≠0.87

The value of p^ is obtained below:

Step 2

The test statistic is obtained as follows:

Step 3

Thus, the test statistic is **–3.13**.

*p-value:*

Step-by-step procedure to obtain the p-value using StatKey:

- Choose
**Normal**under**Theoretical Distributions**. - In
**Normal Distribution,**click**Edit Parameters**. - Enter
**mean**as**0**and**standard deviation**as**1**and click**Ok**. - Click
**Two Tail**. - In
**Custom cutoff,**enter the numerical cutoff value a...

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