The process by which a single species splits into two species is still not well understood. One hypothesis is that in species in which female mate more than once would be more prone to associate with sexual conflict and this conflict can lead to speciation. Research identified 25 insect groups (Taxon pair), in which one group the female mate multiple times, and the other closely related group the female only mate once. The results can be found in the table below.     Number of species     Taxon pair Multiple-mating group Single-mating group Difference Above (+) or below (-) zero A 53 10 43 + B 73 120 -47 - C 228 74 154 + D 353 289 64 + E 157 30 127 + F 300 4 296 + G 34 18 16 + H 3400 3500 -100 - I 20 1000 -980 - J 196 486 -290 - K 1750 660 1090 + L 55 63 -8 - M 37 115 -78 - N 100 30 70 + O 21000 600 20400 + P 37 40 -3 - Q 7 5 2 + R 15 7 8 + S 18 6 12 + T 240 13 227 + U 115 14 1 + V 77 16 61 + W 15 14 1 + X 85 6 79 + Y 86 8 78 + State your null and alternative hypotheses.                 Use binomial test to test the hypothesis. [hint: x= number of (-) n= total number of taxon pairs]                   Interpret the p-value and state the conclusion from your test

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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The process by which a single species splits into two species is still not well understood. One hypothesis is that in species in which female mate more than once would be more prone to associate with sexual conflict and this conflict can lead to speciation. Research identified 25 insect groups (Taxon pair), in which one group the female mate multiple times, and the other closely related group the female only mate once. The results can be found in the table below.

 

 

Number of species

   

Taxon pair

Multiple-mating group

Single-mating group

Difference

Above (+) or below (-) zero

A

53

10

43

+

B

73

120

-47

-

C

228

74

154

+

D

353

289

64

+

E

157

30

127

+

F

300

4

296

+

G

34

18

16

+

H

3400

3500

-100

-

I

20

1000

-980

-

J

196

486

-290

-

K

1750

660

1090

+

L

55

63

-8

-

M

37

115

-78

-

N

100

30

70

+

O

21000

600

20400

+

P

37

40

-3

-

Q

7

5

2

+

R

15

7

8

+

S

18

6

12

+

T

240

13

227

+

U

115

14

1

+

V

77

16

61

+

W

15

14

1

+

X

85

6

79

+

Y

86

8

78

+

  1. State your null and alternative hypotheses.

 

 

 

 

 

 

 

 

  1. Use binomial test to test the hypothesis.
    [hint: x= number of (-) n= total number of taxon pairs]

 

 

 

 

 

 

 

 

 

  1. Interpret the p-value and state the conclusion from your test

 

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