Testing
the Null Hypothesis and Interpreting the P-Value
Southside Hospital in Bay Shore,
New York,
commonly conducts stress tests to
study the heart
muscle after a person has a heart
attack. Members of the diagnostic
imaging department conducted a
quality improvement
project with the objective of
reducing the turnaround time for
stress tests. Turnaround time is
defined as the time from when
a test is ordered to when the
radiologist signs off on the test
results. Initially, the mean
turnaround time for a stress test was
68 hours. After incorporating
changes into the stress-test
process, the quality improvement
team collected a sample of
50 turnaround times. In this
sample, the mean turnaround
time was 32 hours, with a standard
deviation of 9 hours.
a. If you test the null hypothesis
at the 0.01 level of significance,
is there evidence that the new
process has reduced
turnaround time?
b. Interpret the meaning of the
p-value in this problem.





