Researchers investigated the issue of race and equality of access to clinical trials. The table below shows the population distribution and the numbers of participants in clinical trials involving lung cancer.
| Race / ethnicity |
White non-Hispanic |
Hispanic |
Black |
Asian/Pacific Islander |
American Indian/Alaskan Native |
| Distribution of Population |
75.6% |
9.1% |
10.8% |
3.8% |
0.7% |
| Number in Lung Cancer Clinical Trials |
3855 |
60 |
316 |
54 |
12 |
1. What is the value for n, the total number of observed sample values?
2. How many degrees of freedom do we have in this hypothesis test?
3. What is the observed frequency O for the White/non-Hispanic category?
4. What is the expected frequency E for the White/non-Hispanic category? Round your answer to the nearest whole number?
5. What are the null and alternative hypotheses for this goodness-of-fit test?
6. What is the test statistic for this goodness-of-fit test? Round your answer to three decimal places.
7. What is the critical number for this hypothesis test if the significance level is 0.01?
8. If we use the significance level 0.01 do we reject or fail to reject the null hypothesis?
9. If we use the 0.01 significance level, state your conclusion for the hypothesis test. Is there a race/ethnic group that appears to be very underrepresented? Explain.