Consider a test to determine if data are generated by the Poisson distribution. One pro cedure for attempting to resolve questions of disputed authorship is to count the num- ber of occurrences of particular words in blocks of text. These can be compared with results from passages whose authorship is known, often this comparison can be achieved through the assumption that the number of occurrences follows a Poisson distribution An example of this type of research involves the study of the Federalist Papers (Mosteller and Wallace 1964) 142 Goodness Test Population des Links 589 u25 Example 14.4 Federalist Papers (Chi-Square) For a sample of 252 blocks of text (each apprecimately 230 words in length) from The Fed- erald Papers (Mosteller and Wallace 1961), the mean number of occurrences of the word many was 0.66. Table 14.7 shows the observed frequencies of occurrence of this word in the 262 sampled blocks of text. Test the null hypothesis that the population distribution of currences is Passion, without assuming prior knowledge of the mean of this distribution Table 14.7 Occurrences of the Word may in 262 Slocks of Ted in The Federalist Papers NONCES 2 Observed frequency 156 14 24