a nurse researcher wanted to determine what the infection rate was in her ICU an

Question

a nurse researcher wanted to determine what the infection rate was in her ICU and whether the rate was lower than the national average benchmark currently used for accreditation. As an experiment, she reviewed the 57 patient case records that were treated in her unit during the past 30days. she found that the average number of complications, M, was 0.43. the most recent accreditation reports show 0.35, with a standard deviation of 0.12. In this case, the average number of complications was 8% higher in her ICU. What type of test should the nurse researcher use to determine if this difference is meaningful?

Explanation / Answer

She can use a single sample Z test.

A one sample z test is one of the most basic types of hypothesis test. In order to run a one sample z test

You need population proportion, which' .35

You need sample proportion, which' .43

Sample size = 57

Stdev = .12

So, Z = ( .43-.35)/(.12/sqrt(57)) = 5.03

So, assuming a 95 % confidence ( Z=1.96), a sample statistics of 5 means the difference is meaningful

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