A survey was conducted to evaluate the effectiveness of a new flu vaccine which had been administered in a small community. The vaccine was provided free of charge in a two-shot sequence over a period of 2 weeks to those wishing to avail themselves of it. Some people received the 2-shot sequence, some appeared only for the first shot, and others received neither. A survey of 1,000 local inhabitants in the following spring provided the following information:

A) Under the assumption that occurrence or nonoccurrence of flu is independent of the vaccine history, what would be the expected cell frequency for the cell "No Vaccine-Flu" (the cell with an actual frequency of 24)?

B) Calculate the appropriate test statistic for testing the independence of the vaccine history with the occurance of the flu.

C) What is the appropriate rejection region for the Probability of a Type I error to be set at .05?

D) What is the conclusion for the hypothesis testing using (b) and (c)?

No vaccine One Shot Two Shots Total 9. Flu 24 13 46 No Flu 289 100 565 954 Total 313 109 578 1000