Assume you observe 115 black coated polled cattle, 55 black coated horned cattle
ID: 99495 • Letter: A
Question
Assume you observe 115 black coated polled cattle, 55 black coated horned cattle, 53 red coated polled cattle, and 17 red coated horned cattle. Expected number black polled: Expected number black horned: Expected number red polled: Expected number red horned: Calculated chi-square for black polled: Calculated chi-square for black horned: Calculated chi-square for red polled: Calculated chi-square for red horned: Calculated total chi-square for your data: Degrees of freedom: What is the nearest P value: Is your chi-square value significant -yes or no?Explanation / Answer
Null hypothesis : The observed values are not deviating from 9:3:3:1 ratio.
Category
Black, Polled
Black, horned
Red, polled
Red, horned
Total
Observed values
115
55
53
17
240
Exptected Ratio
9
3
3
1
16
Exprected Values
135
45
45
15
Deviation
-20
10
8
2
D^2
400
100
64
4
D^2/E
2.962963
2.222222
1.422222
0.266667
6.874074
X^2
6.874074
Degrees of freedom
4-1 = 3
Inference : The calculated chisquare value 6.874 is less than the table value i.e. 7.82 at 3 DF and 0.05 probability. Hence the NULL HYPOTHESIS is accepted.
The value is Significant.
Category
Black, Polled
Black, horned
Red, polled
Red, horned
Total
Observed values
115
55
53
17
240
Exptected Ratio
9
3
3
1
16
Exprected Values
135
45
45
15
Deviation
-20
10
8
2
D^2
400
100
64
4
D^2/E
2.962963
2.222222
1.422222
0.266667
6.874074
X^2
6.874074
Degrees of freedom
4-1 = 3
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.