Question

A teacher is explaining to her class the concepts of genetics regarding eye color. She assumes that each category will have the same number of students in it. Use a 0.05 level of significance. Here are the results for the class. Observed Eye Colors: Blue=8; Green=3; Brown= 9, Hazel= 4, Expected Eye Colors: All the categories of eye colors are the same.

Answer 1

& Solution - The problem is to test Ho: Each caturgory have same no. of students in it. Calo of studests are uniformly distributed) Is H. Each catory do not have some no, of studests (No.of students are not uniformly distributed Test statistica x² - Io2 시 Ei where or observed freq N = total freg = 24 Enpected frey = 24 - 6 To find this value, we prepare the table a follows- E B G 3 6 Br Н 9 6 6 02 / Ei X² 28.3334-24 10.6.667 4.3334 1.5. 13-5 Coticed value- Atsillos 2.6667 xn---- X3 = 7-815. 28.3334 0.2276 = 0.05. 24 24 P-value Decision! - As car < X Also, p-value >x, we accept Ho at s. los Conclusion - There is sufficiest evidose to conclude that Each Catogory have same no. of students in it.