Question

CO Question 1 of 3 (1 point) View problem in a pop-up 11.1 Section Exercise 6 (p-value, calc) A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as those in the general population. The distribution for the general population is as follows: type A, 20%; type B, 28%; type 0, 26%; and type AB = 26%. He selects a random sample of 50 patients and finds the following: 10 have type A blood, 10 have type B, 23 have type O, and 7 have type AB blood. Gu At a =0.05, can it be concluded that the distribution is the same as that of the general population? Use the P-value method and a graphing calculator. Lir Part 1 Identify the claim with the correct hypothesis. The blood type distribution is the same as the distribution of the general population. Claim H,: The blood type distribution differs from the distribution of the general population. Not claim Part 2 out of 4 Find the P-value. Round the answer to four decimal places. P-value = RIET

Answer 1

Here n= 4 p o E = p*50 (0-E) (O-E)?/E 10 0 0.2 10 0 0.28 10 14 -4 1.1429 0.26 23 13 10 7.6923 0.26 7 13 -6 2.7692 Total 50 50 11.604 The test statistic is (0-E) 11.604 E Degrees of freedom = 4-1 = 3 P-value = 0.0089 [using Excel function CHIDIST(11.604,3)] Decision rule : Reject H0 if P-value < a Here P-value = 0.0089 < 0.05 = a. Conclusion: By decision rule, we reject HO