PLEASE HELP answer q14, q15, q16 with explanation, Will Make Sure To Leave A Great Review. Thank You So Much.

14. 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, from Murthy, Krumholz, and Gross. Use a 0.01 significance level to test the claim that the distribution of clinical trial participation fits well with the population distribution. Is there a race/ethnic group that appears to be very underrepresented? (10 points) Race /ethnicity White Hispanic Black API American Indian Population 75.6% 9.1% 10.8% 3.8% 0.7% Number in clinical trials 3855 60 316 54 12 Table 7: Table of population distribution and number of participants in clinical trials, by race/ethnic identity 15. In a clinical trial of the effectiveness of echinacea for preventing colds (Turner et al.), a test statistic of x2 - 2.925 is found in a significance test on the claim that getting a cold is independent of the treatment group. The critical value for this test is x2 = 5.991. Sketch the sampling distribution of x given we assume the null hypothesis to be true and express the conclusion formally. (10 points) 16. A random sample of heights are partitioned according to two factors: gender as row (identify as female or identify as male) and age group as column (18-29, 30-49, and 50-80). Two-way analysis of variance is to be performed on the sample. Briefly explain how to test for an effect between the row factor and the column factor in context. (10 points)