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The Australian malleefowl is a ground-nesting bird that is endangered in southern Australia. Males of the species dig an egg chamber and construct a large nest mound; the parents guard the mound for a while but provide no parental care to the young. The malleefowl lives in forests of mallee, a type of eucalypt vegetation that was widely used for agriculture and now exists only in pockets. Malleefowl are also threatened by non-native predators.Suppose these data are from a study that observed nest mounds in two types of mallee vegetation, dense and open. The success of each mound in one year was coded as “P” for the eggs being eaten by predators; “Z” for either no eggs laid or failure to hatch; and "S" for a successful clutch resulting in at least one live young. Nest pairSiteSuccess codeNest pairSiteSuccess code1Dense malleeP21Dense malleeS2Open malleeS22Open malleeP3Open malleeP23Dense malleeS4Open malleeZ24Open malleeZ5Open malleeP25Dense malleeP6Dense malleeS26Dense malleeP7Open malleeS27Dense malleeS8Dense malleeS28Open malleeS9Dense malleeS29Dense malleeS10Open malleeS30Open malleeZ11Open malleeS31Open malleeS12Open malleeZ32Open malleeS13Dense malleeP33Open malleeZ14Dense malleeP34Dense malleeS15Dense malleeP35Dense malleeP16Dense malleeS36Open malleeZ17Dense malleeS37Dense malleeP18Dense malleeZ38Open malleeZ19Open malleeP39Open malleeZ20Dense malleeZ   Test for an association between vegetation density and malleefowl nest success. a) What is the null and alternative hypothesis, in words? (I took a stab at it) H0: There is no association between vegetation density and malleefowl nest success.HA: There is an association between vegetation density and malleefowl nest success. b) Generate the expected frequencies. Do the data violate the assumptions of the test? Explain why or why not. c) If you find the data don’t violate the assumptions, perform the test, generating the χ2 If you do find the data violate the assumptions, lump the data in a way that permits you to perform the test. State χ2, degrees of freedom, and the critical value of χ2.Report your complete finding, with statistical details in parentheses, in a plain English sentence.

Question

The Australian malleefowl is a ground-nesting bird that is endangered in southern Australia. Males of the species dig an egg chamber and construct a large nest mound; the parents guard the mound for a while but provide no parental care to the young. The malleefowl lives in forests of mallee, a type of eucalypt vegetation that was widely used for agriculture and now exists only in pockets. Malleefowl are also threatened by non-native predators.

Suppose these data are from a study that observed nest mounds in two types of mallee vegetation, dense and open. The success of each mound in one year was coded as “P” for the eggs being eaten by predators; “Z” for either no eggs laid or failure to hatch; and "S" for a successful clutch resulting in at least one live young.

 

Nest pair

Site

Success code

Nest pair

Site

Success code

1

Dense mallee

P

21

Dense mallee

S

2

Open mallee

S

22

Open mallee

P

3

Open mallee

P

23

Dense mallee

S

4

Open mallee

Z

24

Open mallee

Z

5

Open mallee

P

25

Dense mallee

P

6

Dense mallee

S

26

Dense mallee

P

7

Open mallee

S

27

Dense mallee

S

8

Dense mallee

S

28

Open mallee

S

9

Dense mallee

S

29

Dense mallee

S

10

Open mallee

S

30

Open mallee

Z

11

Open mallee

S

31

Open mallee

S

12

Open mallee

Z

32

Open mallee

S

13

Dense mallee

P

33

Open mallee

Z

14

Dense mallee

P

34

Dense mallee

S

15

Dense mallee

P

35

Dense mallee

P

16

Dense mallee

S

36

Open mallee

Z

17

Dense mallee

S

37

Dense mallee

P

18

Dense mallee

Z

38

Open mallee

Z

19

Open mallee

P

39

Open mallee

Z

20

Dense mallee

Z

 

 

 

Test for an association between vegetation density and malleefowl nest success.

 

a) What is the null and alternative hypothesis, in words? (I took a stab at it)

 

H0: There is no association between vegetation density and malleefowl nest success.

HA: There is an association between vegetation density and malleefowl nest success.

 

b) Generate the expected frequencies. Do the data violate the assumptions of the test? Explain why or why not.

 

c) If you find the data don’t violate the assumptions, perform the test, generating the χ2 If you do find the data violate the assumptions, lump the data in a way that permits you to perform the test. State χ2, degrees of freedom, and the critical value of χ2.Report your complete finding, with statistical details in parentheses, in a plain English sentence.

 

check_circleAnswer
Step 1

a.

Null and alternative hypothesis;

H0: There is no association between vegetation density and malleefowl nest success.

HA: There is an association between vegetation density and malleefowl nest success.

b.

The given data was tabulates as below,

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Step 2

The expected frequency can be calculated as,

fullscreen
Step 3

The expected frequencies are sho...

fullscreen

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