In: Math
in a clinical trial, 25 out of 852 patients taking a prescription drug daily complained of flulike symptoms. Suppose that is it known that 2.5% of patients taking competing drugs complain of flulike symptoms. is there enough evidence to conclude that more than 2.5% of this drugs users experience flulike symptoms as a side effect at the 0.1 level of significance?
Null hypothesis
           
       
          
           
Alternative hypothesis     
           
   
          
           
We have for given example,      
           
   
Population proportion value is =0.025  
           
   
x=25          
       
          
           
n=852          
       
Level of significance =   0.1  
           
   
Estimate for sample proportion 
          
           
Z test statistic formula for proportion
=0.812      
P value is = 0.2084..........................by using Excel command 1-NORMSDIST(0.812)
P value = 0.2084 > 0.10
Therefore, we fail to reject H0 at 
We do have sufficient evidence at 
 to say
that,  more than 2.5% of this drugs users experience flu
like symptoms as a side effect.