Question 61 pts There are two types of sneetches, the star-bellied sneetch (S. a

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Question 61 pts

There are two types of sneetches, the star-bellied sneetch (S. astra) and the plain sneetch (S. simplex). Professor O. B. Servant counted sightings of these sneetches, identified each sneetch he saw, and classified their location into the three types: Ground, Tree, and Lake. The number of sightings are shown in the table below:

Professor O.B. Servant would like to know if the habitat use is independent of the types of sneetches.

Find the expected frequency for S. astra on ground if the habitat use is independent of the types.

Round your answer to the nearest 0.01.

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Question 71 pts

Continue the previous problem.

Calculate the test statistic X2 for testing the independence of the two variables.

Round your answer to the nearest 0.01.

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Question 81 pts

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Find the number of degrees of freedom for the test statistic X2 for testing the independence of the two variables.

Round your answer to the nearest 0.01.

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Question 91 pts

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Find the p-value for testing the independence of the two variables.

Round your answer to the nearest 0.01.

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Question 101 pts

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Based on the p-value, is the habitat use independent of type?

S. astra S. simplex Ground 60 35 Tree 34 41 Lake 28 42

Explanation / Answer

61)xpected frequency for S. astra on ground =row total*column total/grand total=48.29

71)

applying chi square test:

test statistic X2 =9.97

81_)

number of degrees of freedom =(row-1)*(column-1)=(3-1)*(2-1)=2

91)

p value =0.01

101)

Expected Ei=?row*?column/?total S. Astra S.Simplex Total Ground 48.2917 46.708 95 tree 38.125 36.875 75 lake 35.583 34.417 70 Total 122 118 240 chi square =(Oi-Ei)2/Ei S. Astra S.Simplex Total Ground 2.839 2.935 5.774 tree 0.446 0.461 0.908 lake 1.616 1.671 3.287 Total 4.901 5.067 9.968

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