4. Under-representation of minorities in clinical trials and other research has been a long- standing problem that Federal Agencies are trying to address. One source of the problem is that clinical centers involved in trials often serve predominantly non-minority communities. Black Americans account for 22% of yearly cases of Multiple Myeloma (Awidi and A1 Hadidi, 2021). Suppose we are analyzing data from a clinical trial of Multiple Myeloma Where patients were enrolled from specic clinical centers. It is found that 4.5% of the 800 patients on the trial self-identify as Black. That is, 36 out of 800 patients are Black. a. Create a 95% condence interval for the true proportion of patients who are Black Americans among the clinical centers participating in this clinical trial. b. Based on the condence interval you constructed, does there appear to be evidence that the true proportion of Black Americans among these clinical centers is the same as the national proportion of 22%, at the 0.05 level