Next, based upon a 95% level of confidence, determine the margin of error in estimating the true population proportion of FHSU Element of Statistics students with brown hair from this sample data. Give this margin of error value below. Must show your work.
Individual ID#
|
Gender
|
Foot Length
|
Height
|
Age
|
Armspan
|
Number in Family
|
Hair Color
|
1
|
Female
|
24.5
|
162.5
|
27
|
156.5
|
3
|
Blonde
|
2
|
Male
|
25.5
|
175.5
|
31
|
187
|
4
|
Black
|
3
|
Female
|
23
|
160
|
30
|
162
|
5
|
Brown
|
4
|
Male
|
25.5
|
175
|
29
|
175
|
3
|
Brown
|
5
|
Female
|
24
|
158
|
25
|
157
|
7
|
Brown
|
6
|
Female
|
25
|
163
|
22
|
163
|
3
|
Black
|
7
|
Male
|
31
|
186
|
30
|
190
|
3
|
Brown
|
8
|
Female
|
24.5
|
165
|
18
|
166
|
9
|
Brown
|
9
|
Female
|
21
|
155
|
27
|
150.5
|
4
|
Brown
|
10
|
Female
|
23
|
165
|
24
|
150
|
3
|
Black
|
11
|
Female
|
25.5
|
172
|
37
|
172
|
2
|
Black
|
12
|
Male
|
27
|
168
|
28
|
169
|
4
|
Black
|
13
|
Male
|
27
|
175.5
|
26
|
184.5
|
5
|
Brown
|
14
|
Female
|
22.5
|
158
|
32
|
162.5
|
4
|
Black
|
15
|
Male
|
27
|
188.5
|
22
|
187
|
4
|
Brown
|
16
|
Female
|
24.5
|
162.5
|
46
|
165
|
6
|
Brown
|
17
|
Male
|
31
|
183
|
26
|
188
|
4
|
Brown
|
18
|
Male
|
26
|
162.5
|
47
|
163
|
3
|
Brown
|
19
|
Male
|
29
|
180.5
|
50
|
182
|
4
|
Brown
|
20
|
Female
|
24
|
171
|
27
|
164
|
4
|
Blonde
|
21
|
Male
|
28
|
180.5
|
36
|
183
|
3
|
Black
|
22
|
Male
|
26
|
180.5
|
36
|
183
|
3
|
Brown
|
24
|
Male
|
26.5
|
176
|
21
|
176.5
|
9
|
Brown
|
25
|
Male
|
24
|
175
|
28
|
172.5
|
4
|
Blonde
|
26
|
Male
|
27
|
173
|
31
|
175
|
3
|
Black
|
27
|
Female
|
25.5
|
165.5
|
20
|
173.5
|
3
|
Blonde
|
28
|
Female
|
24
|
160
|
47
|
182.5
|
2
|
Black
|
29
|
Female
|
24
|
161.5
|
24
|
160
|
7
|
Blonde
|
30
|
Female
|
25
|
174
|
22
|
169
|
3
|
Brown
|
31
|
Female
|
24.5
|
165
|
29
|
167.5
|
5
|
Brown
|
32
|
Male
|
27.5
|
178
|
48
|
178
|
4
|
Brown
|
33
|
Female
|
20
|
164
|
43
|
161.5
|
4
|
Blonde
|
34
|
Female
|
20.5
|
153
|
9
|
151.5
|
5
|
Brown
|
35
|
Male
|
24
|
183
|
22
|
188
|
1
|
Brown
|
36
|
Female
|
21.5
|
162.5
|
31
|
158
|
3
|
Blonde
|
37
|
Male
|
32
|
178
|
37
|
165
|
3
|
Brown
|
38
|
Female
|
25
|
178
|
34
|
173.5
|
4
|
Brown
|
39
|
Female
|
25
|
168.5
|
23
|
168
|
4
|
Brown
|
40
|
Female
|
23.5
|
162.5
|
35
|
161.5
|
5
|
Red
|
41
|
Male
|
27.5
|
185.5
|
31
|
181
|
4
|
Brown
|
42
|
Male
|
27.5
|
176.5
|
29
|
170.5
|
4
|
Brown
|
43
|
Male
|
27
|
188
|
37
|
188
|
3
|
Black
|
44
|
Female
|
23
|
167
|
20
|
154
|
4
|
Red
|
45
|
Female
|
23
|
155
|
28
|
157.5
|
4
|
Brown
|
46
|
Female
|
22.5
|
160.5
|
27
|
163
|
5
|
Brown
|
47
|
Male
|
27
|
173
|
34
|
173
|
3
|
Brown
|
48
|
Female
|
28
|
177.5
|
41
|
175
|
3
|
Brown
|
49
|
Male
|
28
|
180
|
33
|
189
|
3
|
Blonde
|
50
|
Male
|
26.5
|
178
|
32
|
172.5
|
2
|
Red
|
51
|
Female
|
25
|
171.5
|
21
|
168.5
|
3
|
Blonde
|
52
|
Female
|
24
|
168
|
14
|
168
|
4
|
Blonde
|
53
|
Female
|
23
|
164.5
|
23
|
166
|
4
|
Brown
|
54
|
Female
|
25
|
170.5
|
25
|
174
|
2
|
Blonde
|
55
|
Female
|
23
|
168
|
22
|
160
|
4
|
Brown
|
56
|
Female
|
22
|
160.5
|
32
|
162.5
|
6
|
Brown
|
57
|
Female
|
23.5
|
165
|
30
|
157
|
5
|
Brown
|
58
|
Female
|
21
|
157
|
21
|
158
|
3
|
Brown
|
59
|
Female
|
24
|
161.5
|
24
|
160
|
7
|
Blonde
|
60
|
Female
|
23.5
|
157.5
|
22
|
160
|
2
|
Brown
|
61
|
Male
|
28
|
173
|
39
|
160
|
6
|
Brown
|
62
|
Male
|
25
|
172.5
|
20
|
161
|
4
|
Black
|
63
|
Female
|
24
|
171
|
26
|
162
|
5
|
Brown
|
64
|
Female
|
24
|
162.5
|
21
|
158.5
|
4
|
Brown
|
65
|
Male
|
28
|
183.5
|
23
|
183
|
5
|
Brown
|
66
|
Female
|
24
|
173.5
|
27
|
167.5
|
5
|
Blonde
|
67
|
Female
|
25
|
170
|
25
|
190
|
5
|
Brown
|
68
|
Female
|
24
|
175.5
|
30
|
170
|
3
|
Blonde
|
69
|
Female
|
25.5
|
170
|
33
|
170
|
4
|
Brown
|
70
|
Female
|
25.5
|
175
|
37
|
170
|
5
|
Blonde
|
71
|
Female
|
25
|
165
|
36
|
172.5
|
4
|
Blonde
|
72
|
Female
|
26
|
173
|
18
|
173
|
4
|
Brown
|
73
|
Female
|
25
|
170.5
|
25
|
174
|
2
|
Blonde
|
74
|
Female
|
26
|
176
|
26
|
177
|
6
|
Brown
|
75
|
Female
|
26
|
176.5
|
41
|
178
|
9
|
Blonde
|
76
|
Female
|
24
|
170
|
20
|
178
|
5
|
Red
|
77
|
Male
|
25.5
|
181
|
29
|
179.5
|
9
|
Brown
|
78
|
Male
|
29
|
177
|
25
|
187
|
3
|
Brown
|
79
|
Male
|
27.9
|
185.5
|
21
|
190.5
|
3
|
Brown
|
80
|
Male
|
29.5
|
198.5
|
25
|
190.5
|
7
|
Brown
|
81
|
Male
|
29.5
|
183
|
38
|
187.5
|
4
|
Bald
|
82
|
Female
|
25
|
172.5
|
27
|
172.5
|
3
|
Red
|
83
|
Male
|
25
|
180
|
33
|
183
|
1
|
Brown
|
84
|
Male
|
25
|
172
|
33
|
182
|
6
|
Blonde
|
85
|
Female
|
24
|
160
|
20
|
158
|
4
|
Brown
|
86
|
Female
|
24
|
165
|
21
|
164
|
4
|
Blonde
|
87
|
Female
|
24
|
160
|
24
|
155
|
4
|
Blonde
|
88
|
Female
|
25
|
157.5
|
37
|
152.5
|
3
|
Blonde
|
89
|
Female
|
24.5
|
161
|
22
|
154
|
5
|
Brown
|
90
|
Male
|
28
|
185.5
|
28
|
188.5
|
4
|
Brown
|
91
|
Female
|
25
|
162
|
44
|
166
|
4
|
Brown
|
92
|
Female
|
23
|
165
|
20
|
141
|
6
|
Brown
|
93
|
Female
|
23.5
|
162
|
27
|
164
|
4
|
Brown
|
94
|
Female
|
25
|
167.5
|
33
|
160
|
5
|
Brown
|
95
|
Male
|
19
|
190.5
|
28
|
191
|
5
|
Black
|
96
|
Male
|
30.5
|
188
|
22
|
190.5
|
3
|
Brown
|
97
|
Male
|
26.5
|
175.5
|
28
|
174
|
9
|
Brown
|
98
|
Female
|
24
|
167.5
|
29
|
170.5
|
2
|
Red
|
99
|
Female
|
24.5
|
170
|
35
|
170
|
8
|
Brown
|
100
|
Female
|
23.5
|
160
|
21
|
157.5
|
4
|
Brown
|
101
|
Female
|
25.5
|
173.5
|
33
|
174.5
|
3
|
Blonde
|