How many events are expected in n observations if the event has a probability p ?

Test using R

binom.test(x,n,p,alternative="greater") 


                  

                

              

              

                

                  
Expected sample mean

                  

                  

                    

                      
                      
                    

                    

                      
                      
                    

                  

                  

                    

                      
                      
                    

                    

                      
                      
                    

                    

                      

                    

                    

                      
                      
                    

                    

                  

                

              

              

                

                  

                  

                  

                    

                      
Population parameters

                      

                        
                        
                      

                      

                        
                        
                      

                    

                  

                  

                    

                      
                      
                    

                    
                    

                    
Analysis

                    

                    We evaluate if we can conclude that the population
                                                        mean is different from \(\mu_0\) with the information
                                                        of the sample obtained:
                    
                    

                    

                    

                      
                      
                    

                    

                  

                

              

              

            

          

        

        
      

    

    

    
(c) Albert Sorribas, Ester Vilaprino, Montse Rue, Rui Alves. 
                     Biomodels Grup, Departament de Ciencies Mediques Basiques.
                     Universitat de Lleida, Institut de Recerca Biomedica de Lleida (IRBLleida