Managers of a major book publisher believe that the occurrence of typographical errors in the books the company publishes is Poisson distributed with a mean of 0.2 per page. Because of some customer quality complaints, the managers have arranged for a test to be conducted to determine if the error distribution still holds. A total of 400 pages were randomly selected and the number of errors per page was counted. These data are summarized in the following frequency distribution:
Errors Frequency
0………………… 335
1………………… 56
2………………….. 7
3. ………………… 2
Total……………… 4
Conduct the appropriate hypothesis test using a significance level equal to 0.01. Discuss the results.