A survey was conducted to evaluate the effectiveness of a new flu vaccine that had been administered in a small community. The vaccine was provided free of charge in a two-shot sequence over a period of two weeks to those wishing to avail themselves of it. Some people received the two-shot sequenced, some appeared for the first shot, and others received neither. The results of 1 000 local inhabitants yielded the following results:
No vaccine One Shot Two Shots
Flu 24 9 13
NoFlu 289 100 565
Do the data present sufficient evidence to indicate a dependence between vaccine classification and the occurrence or nonoccurrence of flu? Use α = 0.05.
(i) Using SAS JMP or R, construct a Mosaic Plot of the data.
(ii) Interpret the Mosaic Plot.
(iii) State the appropriate null and alternative hypothesis for this test.
(iv) What test statistic is used to test these hypotheses and what is the value of the test statistic?
(v) Looking at the row percentages in your SAS JMP or R output, can you draw any conclusions?
(vi) What is your final conclusion? Use both the critical value approach and the p-value approach.