1. The blood types of 254 black homicide victims in Philadelphia are shown below. The blood donor distribution in Philadelphia is thought to be 50% Type 0, 25% Type A, 20% Type B, and 5% Type AB. At a significance level of 5%, using a P-value test, test the claim that that black homicide victims do not have the same distribution of blood types as the donor population. Use the following steps: (a) Complete the observed frequency column in the table below, use two decimal places for E. Expected Observed Expected Percentage Frequency Frequency (P) (0) (E) = np .50 134 Blood Type A 25 70 B 20 45 AB .05 5 n=254 HINT: As a double-check, add up the expected frequency column, it should also total 254 (within small rounding error) (b) What is the name of the test we will be using and what is alpha? Test: 0 = (c) Write the equation that would be used to find the test statistic y" and calculate the degrees of freedom. (d) Using technology, find x' and P. r= P = (e) What are the null and alternate hypotheses? Ho: H1: Is Ho or Hi equivalent to the original claim? Choose Ho or Hi: (f) Do you "reject" or "fail to reject" the null hypothesis? Why? (need reason appropriate for a P-value test, comparing P and alpha) (g) What is your final conclusion about the original claim