tests/testthat/_snaps/binomial.md

In ISCAM: Companion to the Book "Investigating Statistical Concepts, Applications, and Methods"

iscambinomprob returns expected tail probabilities

Code
  res_lower$output
Output
  [1] "Probability 3 and below = 0.3822806 "

Code
  res_upper$output
Output
  [1] "Probability 7 and above = 0.05476188 "

iscaminvbinom solves the correct quantile

Code
  res_lower$output
Output
  [1] "The observation with at most 0.1 probability at or below is 4 "

Code
  res_upper$output
Output
  [1] "The observation with at most 0.1 probability at or above is 12 "

iscambinomnorm executes for each direction

Code
  capture_plot_result(iscambinomnorm(10, 20, 0.5, "below"))$output
Output
  [1] " binomial: 0.5881 "                     
  [2] " normal approx: 0.5 "                   
  [3] " normal approx with continuity: 0.5885 "

Code
  capture_plot_result(iscambinomnorm(10, 20, 0.5, "above"))$output
Output
  [1] " binomial: 0.5881 "                     
  [2] " normal approx: 0.5 "                   
  [3] " normal approx with continuity: 0.5885 "

iscambinomnorm handles two-sided alternatives

Code
  res_lower$output
Output
  [1] " binomial: 0.1153 "                     
  [2] " normal approx: 0.07364 "               
  [3] " normal approx with continuity: 0.1175 "

Code
  res_upper$output
Output
  [1] " binomial: 0.1153 "                     
  [2] " normal approx: 0.07364 "               
  [3] " normal approx with continuity: 0.1175 "

iscambinompower reports rejection probabilities

Code
  res$output
Output
  [1] "Null: Probability 15 and above = 0.02069473 "     
  [2] "Alternative: Probability 15 and above = 0.125599 "

iscambinompower handles less and two-sided cases

Code
  res_less$output
Output
  [1] "Null: Probability 5 and below = 0.0826247 "       
  [2] "Alternative: Probability 5 and below = 0.3782785 "

Code
  res_two$output
Output
  [1] "Null: Probability in rejection region 0.03027 "         
  [2] "Alternative: Probability in rejection region 0.1648196 "

iscambinomtest matches binom.test results

Code
  res$output
Output
  [1] ""                                                                        
  [2] "Exact Binomial Test"                                                     
  [3] ""                                                                        
  [4] "Data: observed successes = 18, sample size = 30, sample proportion = 0.6"
  [5] ""                                                                        
  [6] "Null hypothesis       : pi = 0.5 "                                       
  [7] "Alternative hypothesis: pi <> 0.5 "                                      
  [8] "p-value: 0.36159 "                                                       
  [9] "95 % Confidence interval for pi: ( 0.40603 , 0.77344 ) "

iscambinomtest handles one-sided alternatives

Code
  res_less$output
Output
  [1] ""                                                                       
  [2] "Exact Binomial Test"                                                    
  [3] ""                                                                       
  [4] "Data: observed successes = 6, sample size = 15, sample proportion = 0.4"
  [5] ""                                                                       
  [6] "Null hypothesis       : pi = 0.4 "                                      
  [7] "Alternative hypothesis: pi < 0.4 "                                      
  [8] "p-value: 0.60981 "

Code
  res_greater$output
Output
  [1] ""                                                                           
  [2] "Exact Binomial Test"                                                        
  [3] ""                                                                           
  [4] "Data: observed successes = 11, sample size = 18, sample proportion = 0.6111"
  [5] ""                                                                           
  [6] "Null hypothesis       : pi = 0.45 "                                         
  [7] "Alternative hypothesis: pi > 0.45 "                                         
  [8] "p-value: 0.12796 "

iscambinomtest converts proportion inputs and multiple confidence levels

Code
  res$output
Output
  [1] ""                                                                          
  [2] "Exact Binomial Test"                                                       
  [3] ""                                                                          
  [4] "Data: observed successes = 14, sample size = 100, sample proportion = 0.14"
  [5] ""                                                                          
  [6] "90 % Confidence interval for pi: ( 0.086668 , 0.21017 ) "                  
  [7] "95 % Confidence interval for pi: ( 0.078705 , 0.22373 ) "

iscambinomtest treats not.equal as two-sided

Code
  res$output
Output
  [1] ""                                                                           
  [2] "Exact Binomial Test"                                                        
  [3] ""                                                                           
  [4] "Data: observed successes = 13, sample size = 24, sample proportion = 0.5417"
  [5] ""                                                                           
  [6] "Null hypothesis       : pi = 0.5 "                                          
  [7] "Alternative hypothesis: pi  0.5 "                                           
  [8] "p-value: 0.83882 "

iscambinomtest returns single confidence intervals without hypothesis

Code
  res$output
Output
  [1] ""                                                                         
  [2] "Exact Binomial Test"                                                      
  [3] ""                                                                         
  [4] "Data: observed successes = 18, sample size = 40, sample proportion = 0.45"
  [5] ""                                                                         
  [6] "90 % Confidence interval for pi: ( 0.31461 , 0.59119 ) "

iscambinomnorm prints help for question mark

Code
  collapse_output(help_lines)
Output
  [1] "Arguments:\n     k: number of successes of interest\n     n: number of trials\n     prob: success probability\n     direction: \"above\", \"below\", or \"two.sided\"\n     verbose: Logical, defaults to 'TRUE'. Set to 'FALSE' to suppress\n     messages"

iscambinompower prints help for question mark

Code
  collapse_output(help_lines)
Output
  [1] "Arguments:\n     LOS: A numeric value representing the level of significance\n     n: A numeric value representing the sample size\n     prob1: A numeric value representing the first probability\n     alternative: \"less\", \"greater\", or \"two.sided\"\n     prob2: A numeric value representing the second probability\n     verbose: Logical, defaults to 'TRUE'. Set to 'FALSE' to suppress\n     messages"

iscambinomprob prints help for question mark

Code
  collapse_output(help_lines)
Output
  [1] "Arguments:\n     k: number of successes of interest.\n     n: number of trials.\n     prob: success probability. Numeric between 0 & 1.\n     lower.tail: Boolean for finding the probability above (FALSE) or below\n     (TRUE) the inputted value (inclusive)\n     verbose: Logical, defaults to 'TRUE'. Set to 'FALSE' to suppress\n     messages"

iscambinomtest prints help for question mark

Code
  collapse_output(help_lines)
Output
  [1] "Arguments:\n     observed: The observed number of successes or sample proportion\n     (assumed to be proportion if value less than one.)\n     n: number of trials.\n     hypothesized: hypothesized probability of success.\n     alternative: \"less\", \"greater\", or \"two.sided\"\n     conf.level: Confidence level for a two-sided confidence interval.\n     verbose: Logical, defaults to 'TRUE'. Set to 'FALSE' to suppress\n     messages"

iscaminvbinom prints help for question mark

Code
  collapse_output(help_lines)
Output
  [1] "Arguments:\n     alpha: The probability of interest.\n     n: The number of trials.\n     prob: The probability of success.\n     lower.tail: Boolean for finding the probability above (FALSE) or below\n     (TRUE) the inputted value (inclusive)\n     verbose: Logical, defaults to 'TRUE'. Set to 'FALSE' to suppress\n     messages"

ISCAM documentation built on Feb. 12, 2026, 5:07 p.m.