Question: Output Provided from SAS: 4.61. Eye Color Access the data file eye col

Question

Question:

Output Provided from SAS:

4.61. Eye Color Access the data file eye color. Included are numerous variables on 2068 students at lowa State University. G In this problem we are interested in whether eye color (response) depends on gender (explsnatory) (a) Explain why this data is from an observational study and not a designed experiment. (b) Use software to complete the x2 test for two-way tables. Show all 5 steps, including finding the expected cell counts to check conditions. Simply report the expected cell counts, text statistic, and p-value returned by the software (e) Biologists know that eye color and gender are independent traits. Yet you rejected Ho in the hypothesis tes. Why type of error is this? (Note: Some of this may have to do with gender differences in how we perceive color rather than actual color differences.)

Explanation / Answer

Solutiona:

we acnnot determine the cause hence it is obsrvational study.

Samples are not random

Solutionb:

Null hypothesis:

H0:gender and eye colour are independent

H1:gender and eye colour are dependent.

alpha=0.05

Expected counts are:

Chis q stat=18.3793

(Extra info how that chi sq got calculated

p=0.0010

p<0.05

Reject null hypothesis

Accept alternative Hypothesis.

Gender and eye colour are dependent.

Solutionc:

it is type 1 error

E 188.77 167.55 396.58 349.25 22.848 158.23 140.45 332.42 292.75 19.152

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