Question
1.Let the expected distribution of students is as follows: 35% business, 28% engineering, 15% education, 12% nursing and 10% computer science. We can set the
1.Let the expected distribution of students is as follows:
35% business, 28% engineering, 15% education, 12% nursing and 10% computer science.
We can set the null and research hypotheses as follows:
H0: The observed distribution of students is same as expected distribution
H1: The observed distribution of students is different from the expected distribution.
Chi-Square for Observed Counts in Variable No. of Students
Category Observed Frequency Historical Counts Test Proportion Expected Frequency Contribution to Chi-square
Business 84 35 0.35 82.60 0.02373
Engineering 68 28 0.28 66.08 0.05579
Education 42 15 0.15 35.40 1.23051
Nursing 27 12 0.12 28.32 0.06153
Computer
Science 15 10 0.10 23.60 3.13390
N DF Chi-Square P-Value
236 4 4.50545 0.342
2.Chi-Square for Observed Counts in Variable No. of Respondents
In this case, we can set the null and research hypotheses as follows:
H0: All colors have the same preference or each color has the probability 1/6.
H1: All colors have not the same preference or the probability of color is different than 1/6
Category Observed Test Proportion Expected Contribution to Chi-square
Black 32 0.166667 27 0.9259
White 53 0.166667 27 25.0370
Red 26 0.166667 27 0.0370
Green 20 0.166667 27 1.8148
Yellow 16 0.166667 27 4.4815
Blue 15 0.166667 27 5.3333
.
N DF Chi-Square P-Value
162 5 37.6296 0.000
Please explain clearly the data above and make a conclusion.
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