The probability of flu symptoms foe a person not receiving any treatment is 0.05

Question

The probability of flu symptoms foe a person not receiving any treatment is 0.056. In a clinical trial of a common drug used to lower cholesterol, 64 of 1056 people treated experienced flu symptoms. Assuming the drug has no effect on the of flu symptoms, estimate the probability that at least 64 people experience flu symptoms. What do those results suggest about flu symptoms as an adverse reaction to the drug? P(X Greaterthanorequalto 64) = (Round to four decimal places as needed) What does the result from part suggest? The drug increases the likelihood of flu symptoms because x Greaterthanorequalto 64 is not highly unlikely. The drug has no effect on flu symptoms because x Greaterthanorequalto 64 is not highly unlikely. The drug increases the likelihood of flu symptoms because x Greaterthanorequalto 64 is highly unlikely; The drug has no effect on flu symptoms because x Greaterthanorequalto 64 is highly unlikely.

Explanation / Answer

a)

Here,

n = 1056
p = 0.056

We first get the z score for the critical value:          
          
x = critical value =    63.5      
u = mean = np =    59.136      
          
s = standard deviation = sqrt(np(1-p)) =    7.471571722      
          
Thus, the corresponding z score is          
          
z = (x-u)/s =    0.584080587      
          
Thus, the right tailed area is          
          
P(z >   0.584080587   ) =    0.279583047 [ANSWER]

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b)

As this is a large P value (> 0.05), this is not unlikely, so it has no effect,

OPTION B. [ANSWER]

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