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Testing the Null Hypothesis and Interpreting the P-Value

by | Nov 30, 2023 | Posted Questions

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.

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