a) Fill out the blank columns b) What is the Chi Square formula? (for partial credit in case you miss the answer for part d). c) how many degrees of freedom in this case?

Biology: The Unity and Diversity of Life (MindTap Course List)
15th Edition
ISBN:9781337408332
Author:Cecie Starr, Ralph Taggart, Christine Evers, Lisa Starr
Publisher:Cecie Starr, Ralph Taggart, Christine Evers, Lisa Starr
Chapter10: Control Of Gene Expression
Section: Chapter Questions
Problem 3CT
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The pads on cats' feet are either made of rubber (R) or metal (r). R is dominant. Their whiskers
can either form a mustache (M) or beard (m). M is dominant.
Cat RrMm mates with cat Rrmm (note that the parents' genotypes are NOT identical), and they have kittens:
What fraction do you
"еxpect?"
What # of
Here is what you
kittens do you
"expect?"*
"observe."
Rubber feet/mustache
Rubber feet/beard
Metal feet/mustache
Metal feet/ beard
* Hint: The number you expect is based on how many total kittens there were; you'll have to add up all the actual
14
15
10
kittens in the next column yourself because I didn't do it for you.
a)
Fill out the blank columns
b)
What is the Chi Square formula? (for partial credit in case you miss the answer for part d).
c)
how many degrees of freedom in this case?
(5) Perform a Chi-square test on these data, to see if there is likelihood that the R and M genes are linked. What is
your resulting Chi? number? (SHOW WORK, of course)
d) (3) Using the table below, what is your interpretation and why? Explain how you used the table.
Probabilities
df
0.95
0.90
0.70
0.50
0.30
0.20
0.10
0.05
0.01
0.001
1
0.004
0.016
0.15
0.46
1.07
1.64
2.71
3.84
6.64
10.83
0.10
0.21
0.71
1.39
2.41
3.22
4.61
5.99
9.21
13.82
3
0.35
0.58
1.42
2.37
3.67
4.64
6.25
7.82
11.35
16.27
4
0.71
1.06
2.20
3.36
4.88
5.99
7.78
9.49
13.28
18.47
1.15
1.61
3.00
4.35
6.06
7.29
9.24
11.07
15.09
20.52
1.64
2.20
3.83
5.35
7.23
8.56
10.65
12.59
16.81
22.46
7
2.17
2.83
4.67
6.35
8.38
9.80
12.02
14.07
18.48
24.32
8.
2.73
3.49
5.53
7.34
9.52
11.03
13.36
15.51
20.09
26.13
3.33
4.17
6.39
8.34
10.66
12.24
14.68
16.92
21.67
27.88
10
3.94
4.87
7.27
9.34
11.78
13.44
15.90
18.31
23.21
29.59
11
4.58
5.58
8.15
10.34
12.90
14.63
17.28
19.68
24.73
31.26
12
5.23
6.30
9.03
11.34
14.01
15.81
18.55
21.03
26.22
32.91
13
5,89
7.04
9.93
12.34
15.12
16.99
19.81
22.36
27.69
34.53
14
6.57
7.79
10.82
13.34
16.22
18.15
21.06
23.69
29.14
36.12
15
7.26
8.55
11.72
14.34
17.32
19.31
22.31
25.00
30.58
37.70
20
10.85
12.44
16.27
19.34
22.78
25.04
28.41
31.41
37.57
45.32
25
14.61
16.47
20.87
24.34
28.17
30.68
34.38
37.65
44.31
52.62
30
18.49
20.60
25.51
29.34
33.53
36.25
40.26
43.77
50.89
59.70
50
34.76
37.69
44.31
49.34
54.72
58.16
63.17
67.51
76.15
86.66
Fail to reject | Reject
at 0.05 level
Transcribed Image Text:The pads on cats' feet are either made of rubber (R) or metal (r). R is dominant. Their whiskers can either form a mustache (M) or beard (m). M is dominant. Cat RrMm mates with cat Rrmm (note that the parents' genotypes are NOT identical), and they have kittens: What fraction do you "еxpect?" What # of Here is what you kittens do you "expect?"* "observe." Rubber feet/mustache Rubber feet/beard Metal feet/mustache Metal feet/ beard * Hint: The number you expect is based on how many total kittens there were; you'll have to add up all the actual 14 15 10 kittens in the next column yourself because I didn't do it for you. a) Fill out the blank columns b) What is the Chi Square formula? (for partial credit in case you miss the answer for part d). c) how many degrees of freedom in this case? (5) Perform a Chi-square test on these data, to see if there is likelihood that the R and M genes are linked. What is your resulting Chi? number? (SHOW WORK, of course) d) (3) Using the table below, what is your interpretation and why? Explain how you used the table. Probabilities df 0.95 0.90 0.70 0.50 0.30 0.20 0.10 0.05 0.01 0.001 1 0.004 0.016 0.15 0.46 1.07 1.64 2.71 3.84 6.64 10.83 0.10 0.21 0.71 1.39 2.41 3.22 4.61 5.99 9.21 13.82 3 0.35 0.58 1.42 2.37 3.67 4.64 6.25 7.82 11.35 16.27 4 0.71 1.06 2.20 3.36 4.88 5.99 7.78 9.49 13.28 18.47 1.15 1.61 3.00 4.35 6.06 7.29 9.24 11.07 15.09 20.52 1.64 2.20 3.83 5.35 7.23 8.56 10.65 12.59 16.81 22.46 7 2.17 2.83 4.67 6.35 8.38 9.80 12.02 14.07 18.48 24.32 8. 2.73 3.49 5.53 7.34 9.52 11.03 13.36 15.51 20.09 26.13 3.33 4.17 6.39 8.34 10.66 12.24 14.68 16.92 21.67 27.88 10 3.94 4.87 7.27 9.34 11.78 13.44 15.90 18.31 23.21 29.59 11 4.58 5.58 8.15 10.34 12.90 14.63 17.28 19.68 24.73 31.26 12 5.23 6.30 9.03 11.34 14.01 15.81 18.55 21.03 26.22 32.91 13 5,89 7.04 9.93 12.34 15.12 16.99 19.81 22.36 27.69 34.53 14 6.57 7.79 10.82 13.34 16.22 18.15 21.06 23.69 29.14 36.12 15 7.26 8.55 11.72 14.34 17.32 19.31 22.31 25.00 30.58 37.70 20 10.85 12.44 16.27 19.34 22.78 25.04 28.41 31.41 37.57 45.32 25 14.61 16.47 20.87 24.34 28.17 30.68 34.38 37.65 44.31 52.62 30 18.49 20.60 25.51 29.34 33.53 36.25 40.26 43.77 50.89 59.70 50 34.76 37.69 44.31 49.34 54.72 58.16 63.17 67.51 76.15 86.66 Fail to reject | Reject at 0.05 level
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