Suppose that 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 to conduct a test 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 400 Conduct the appropriate hypothesis test using a significance level equal to 0.01. Discuss the results.