Question

A sample of 200 individuals are tested for their blood type is given in the first table, and the results are used to test the hypothesized distribution of blood types. The observed results are given in the second table. At the .05 level of significance, is there sufficient evidence to show that the stated distribution is incorrect?

Blood Type	  A  Â	  B  Â	  O  Â	  AB  Â
Percent	0.4	0.07	0.38	0.15

Blood Type	  A  Â	  B  Â	  O  Â	  AB  Â
Number	65	12	87	36

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
< p <
(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that the stated distribution is incorrect. Reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect.     Fail to reject the null hypothesis, there is significant evidence that the stated distribution is incorrect. Fail to reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect

Answer 1

The statistical software output for this problem is:

Hence,

a) Test statistic = 5.89

ii) 0.10 < p < 0.20

b) Fail to reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect.