In: Statistics and Probability
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     B     O     AB   Percent 0.4 0.1 0.38 0.12 Blood Type   A     B     O     AB   Number 72 21 84 23 (a) Find the test statistic. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer bounds exactly.)?
Result:
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 B O AB Percent 0.4 0.1 0.38 0.12 Blood Type A B O AB Number 72 21 84 23
(a) Find the test statistic. (Give your answer correct to two decimal places.)
Test statistic : 1.73
(b) (ii) Find the p-value. (Give your answer bounds exactly.)?
P value : 0.6295
OR P >0.10
Since P value > 0.05 level, Ho is not rejected. No, there is not sufficient evidence to show that the stated distribution is incorrect.
Goodness of Fit Test |
||||
observed |
expected |
O - E |
(O - E)² / E |
|
72 |
0.4*200=80.000 |
-8.000 |
0.800 |
|
21 |
0.1*200=20.000 |
1.000 |
0.050 |
|
84 |
0.38*200=76.000 |
8.000 |
0.842 |
|
23 |
0.12*200=24.000 |
-1.000 |
0.042 |
|
Total |
200 |
200.000 |
1.734 |
|
1.734 |
chi-square |
|||
3 |
df |
|||
.6295 |
p-value |