Biostats
As our planet warms, the change in temperature will have major effects on life. One of the possibilities for what might happen to a species is that species can move closer to the poles so that it experienced temperatures closer to what it has experienced in the past. A recent study of the range of limits of European butterflies found that, of 24 species that had changed their ranges in the last 100 years, 22 of them had moved further north and only two had moved further south. Assume that these 24 species are a random sample of butterfly species. Conduct a binomial test to test the hypothesis that the fraction of butterfly species moving north is different from the fraction moving south.
1. Write the null and alternative hypothesis for the binomial test. (hint: null hypothesis is that the chance of species moving north or south is the same)
2. What is the observed value for the test statistics of the binomial test? (hint: it’s he number of species changing their locations)
3. List all possible outcomes in which the number of butterfly species moving north is greater than the 22 observed.
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DATA: Compatible Mate Incompatible Mate 13 22 13 19 11 64 7 48 7 20 9...
DATA:
Compatible Mate
Incompatible Mate
13
22
13
19
11
64
7
48
7
20
9
90
19
48
11
38
7
33
9
79
13
43
1
30
9
38
23
28
7
22
11
22
7
17
7
24
5
20
13
20
13
17
9
18
5
17
19
28
7
20
13
43
1
48
15
30
15
17
9
12
7
48
5
15
25
12
1
38
7
28
19
53
7
28
29...
Use the datafile ads2.csv. A consumer products company uses direct mail marketing for its advertising campaigns....
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DATA:
Compatible Mate
Incompatible Mate
13
22
13
19
11
64
7
48
7
20
9
90
19
48
11
38
7
33
9
79
13
43
1
30
9
38
23
28
7
22
11
22
7
17
7
24
5
20
13
20
13
17
9
18
5
17
19
28
7
20
13
43
1
48
15
30
15
17
9
12
7
48
5
15
25
12
1
38
7
28
19
53
7
28
29...
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company uses direct mail marketing for its advertising campaigns.
The company has three different designs (1, 2, and 3) for a new
brochure designed for customers in four regions (NE = north east,
NW = north west, SE = south east, and SW = south west). The company
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mailing campaign 3...
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