The President of the University of Michigan would like to know more about students on campus. He conducts a survey of 173 randomly selected students that is representative of the entire student body. He finds that 53 of 173 sampled students are Health Science majors. He also collects data on student's majors by race/ethnicity and gets the data below. Health Science Student Ethnicity yes no total African American 5 16 21 Asian/Pacific Islander 3 17 20 Caucasian 42 58 100 Hispanic 2 17 19 Other 1 12 13 Total 53 120 173 a) The President is interested in the association between race/ethnicity and
The President of the University of Michigan would like to know more about students on campus. He conducts a survey of 173 randomly selected students that is representative of the entire student body. He finds that 53 of 173 sampled students are Health Science majors. He also collects data on student's majors by race/ethnicity and gets the data below.
| Health Science Student |
| Ethnicity | yes | no | total |
| African American | 5 | 16 | 21 |
| Asian/Pacific Islander | 3 | 17 | 20 |
| Caucasian | 42 | 58 | 100 |
| Hispanic | 2 | 17 | 19 |
| Other | 1 | 12 | 13 |
| Total | 53 | 120 | 173 |
a) The President is interested in the association between race/ethnicity and major. State the null and alternative hypothesis for evaluating this.
b) How many students would you expect to be Hispanic health science majors if race/ethnicity and major are independent of each other?
c) You find that the chi-squared test statistic works out to be 15.6748 with a P-value equal to .003488. State your complete conclusion in context. What do you conclude about the null hypothesis? What do you conclude about the association between race/ethnicity and major?
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