Question 4 A random sample of size 10 from an unknown distribution with median m has yielded the following observations: 0.05 2.11 2.08 5.40 5.52 6.78 8.06 8.54 9.57 21.89 The sample medians for each of 1000 bootstrap samples were calculated, and then ordered from smallest to largest. The following are some of the ordered results obtained: Sample No. 10 25 50 100 250 500 Sample Med. 1.08 2.09 2.11 3.74 3.75 5.46 6.15 Sample No. 750 900 950 975 990 1000 Sample Med. 7.42 8.06 8.54 8.81 9.05 15.73 (a) Use the bootstrap results to find an exact p-value for a test of the null hypothesis Ho: m 4. What would you conclude? (b) Construct a 90% confidence interval for the median based on the bootstrap data