We now wish to decide if there “use of e-cigarettes” and “income category” aredependent. To assist with this process, the table from before has been augmented with most of the expected frequencies (listed in parentheses):
<$35,000 |
$35,000-$99,999 |
$100,000+ |
Total |
|
Vape |
47 (34) |
57 (58) |
19 (31) |
123 |
Do Not Vape |
381 (394) |
659 (???) |
362 (???) |
1402 |
Total |
428 |
716 |
381 |
1525 |
A. (2 points) Find the missing two expected frequencies, labeled as (???). For credit, be sure to show your work
B. (2 points) From a brief analysis of the frequencies, do you believe that there is convincing evidence of a dependence relationship between income category and whether or not a person vapes? Explain.
C. (2 points) Based on the given information, the test statistic computes to be 10.47. Based on this, what is the conclusion of the hypothesis test at the 0.05 significance level? Be sure to justify your answer by using either the p-value or critical value method.
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