Question

The probability of flu symptoms for a person not receiving any treatment is 0.059. In a clinical trial of a common drug used to lower​ cholesterol, 51 of 814 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu​ symptoms, estimate the probability that at least 51 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the​ drug? ​(a) ​P(Xgreater than or equals51​)equals nothing ​(Round to four decimal places as​ needed.) ​(b) What does the result from part​ (a) suggest? A. The drug increases the likelihood of flu symptoms because xgreater than or equals51 is not highly unlikely. B. The drug has no effect on flu symptoms because xgreater than or equals51 is not highly unlikely. C. The drug has no effect on flu symptoms because  xgreater than or equals51 is highly unlikely. D. The drug increases the likelihood of flu symptoms because xgreater than or equals51 is highly unlikely.

Answer 1

n=	814	p=	0.0590
here mean of distribution=μ=np=		48.026
and standard deviation σ=sqrt(np(1-p))=		6.7225
for normal distribution z score =(X-μ)/σx

probability =

P(X>51)

=

P(Z>0.442)=

1-P(Z<0.44)=

1-0.6709=

0.3300

a)

​P(Xgreater than or equals51​)=0.3300

( please try 0.3557 if this comes wrong and revert)

b)

B. The drug has no effect on flu symptoms because xgreater than or equals51 is not highly unlikely.