In a clinical trial, 32 out of 800 patients taking a prescription drug complaine
ID: 3040170 • Letter: I
Question
In a clinical trial,
32
out of
800
patients taking a prescription drug complained of flulike symptoms. Suppose that it is known that
2.7
%
of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than
2.7
%
of this drug's users experience flulike symptoms as a side effect at the
alpha equals 0.05
level of significance?
What are the null and alternative hypotheses?
Upper H 0
:
p
equals
0.027versus
Upper H 1
:
p
greater than
0.027
Use technology to find the P-value.
P-valueequals
nothing(Round to three decimal places as needed.)
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.027
HA : p > 0.027
Hypothesis test results:
Hence,
Ho: p = 0.027
Ha: p > 0.027
P - value = 0.012
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 32 800 0.04 0.0057305104 2.2685588 0.0116