Question 11.62
27. Email, Phone, or in Person? What is the most effective way to handle a task at work: by email, by phone, or in person? Well, you probably say, it depends on the task. The Pew Internet and American Life Project Email at Work Survey surveyed 1000 randomly selected work email users, who chose the following methods as the best for handling certain work tasks. Test whether the proportions who favor email differ between the two tasks, using level of significance and the p-value method. 
worktask
| Task | By email | By phone or in person |
|---|---|---|
| Edit or review documents | 670 | 330 |
| Arrange meetings or appointments |
630 | 370 |
11.2.27
. : Not all the proportions in are equal. Reject if -value . Since none of the expected frequencies is less than 1 and none of the expected frequencies is less than 5, the conditions for performing the test for homogeneity of proportions are met. . -value . Since the -value is not , we do not reject . There is insufficient evidence that the proportions who favor email differ between the two tasks.