11) According to the Bureau of the Census, 18.1% of the U.S. population lives in the northeast, 21.9% in the Midwest, 36.7% in the South, and 23.3% in the West. a) What is the appropriate null and alternate hypothesis to determine if the distribution of hotline callers is different than the U.S. population distribution? b) To determine if the callers to a national 800-number hotline are different than the national averages, the hotline had a random sample of 200 callers answer some questions after their call was completed. This data appears below. Use JMP software to test the hypothesis of part a) c) Using aplha = 0.05, draw a conclusion for the hypothesis test and state the conclusion in the context of the problem. Caller Region Gender 1 West Female 2 Northeast Male 3 Northeast Female 4 West Male 5 South Female 6 South Female 7 South Female 8 West Female 9 West Female 10 Northeast Female 11 South Female 12 West Female 13 West Male 14 Northeast Female 15 West Female 16 Northeast Female 17 Midwest Female 18 South Female 19 South Male 20 Midwest Male 21 South Male 22 South Male 23 West Female 24 Northeast Male 25 Midwest Female 26 West Female 27 West Female 28 West Male 29 Northeast Male 30 Northeast Female 31 South Female 32 West Male 33 West Male 34 West Female 35 South Female 36 Midwest Male 37 South Female 38 Midwest Female 39 Midwest Male 40 West Male 41 Midwest Male 42 West Female 43 Midwest Male 44 West Male 45 South Female 46 Midwest Male 47 Northeast Male 48 West Female 49 South Female 50 Northeast Male 51 Midwest Male 52 South Female 53 South Female 54 West Female 55 Northeast Male 56 Northeast Male 57 Midwest Male 58 Northeast Male 59 South Male 60 South Female 61 Northeast Female 62 Midwest Male 63 Northeast Male 64 South Female 65 South Male 66 South Male 67 Midwest Male 68 Northeast Female 69 Midwest Male 70 Northeast Female 71 West Female 72 South Male 73 West Male 74 South Male 75 West Female 76 Northeast Male 77 South Female 78 Northeast Female 79 South Male 80 Midwest Male 81 South Female 82 Midwest Female 83 Northeast Male 84 South Female 85 South Female 86 Midwest Female 87 Midwest Female 88 West Female 89 South Female 90 Northeast Male 91 West Male 92 Midwest Male 93 South Female 94 Northeast Male 95 West Male 96 Midwest Female 97 South Male 98 West Female 99 South Female 100 Northeast Female 101 West Male 102 South Male 103 West Female 104 Midwest Female 105 South Female 106 Midwest Male 107 Northeast Female 108 South Female 109 South Female 110 West Female 111 South Female 112 Midwest Male 113 Midwest Male 114 Midwest Male 115 South Female 116 Midwest Female 117 West Female 118 Midwest Male 119 Midwest Male 120 Northeast Female 121 Northeast Male 122 Midwest Male 123 South Female 124 Midwest Male 125 South Male 126 Midwest Female 127 Northeast Female 128 Midwest Male 129 Northeast Female 130 West Male 131 Midwest Male 132 South Female 133 Midwest Male 134 South Female 135 Midwest Male 136 South Male 137 Midwest Male 138 South Female 139 Northeast Male 140 West Male 141 Northeast Male 142 South Male 143 West Female 144 West Female 145 West Female 146 Midwest Male 147 South Female 148 Midwest Female 149 West Female 150 Midwest Male 151 South Male 152 Midwest Male 153 Midwest Female 154 South Female 155 South Male 156 Midwest Male 157 South Female 158 South Male 159 South Female 160 Midwest Male 161 Midwest Male 162 Midwest Male 163 South Male 164 Midwest Female 165 Midwest Female 166 Midwest Female 167 West Male 168 Northeast Male 169 Midwest Male 170 Northeast Female 171 Midwest Male 172 West Female 173 West Female 174 South Female 175 Northeast Male 176 South Female 177 West Female 178 Northeast Male 179 Northeast Female 180 West Male 181 Northeast Female 182 Midwest Female 183 Midwest Male 184 Midwest Male 185 South Female 186 Northeast Male 187 South Female 188 Midwest Male 189 South Female 190 West Female 191 South Female 192 West Female 193 South Female 194 Midwest Male 195 Northeast Female 196 South Female 197 West Female 198 West Male 199 West Female 200 Northeast Male
11) According to the Bureau of the Census, 18.1% of the U.S. population lives in the northeast, 21.9% in the Midwest, 36.7% in the South, and 23.3% in the West.
a) What is the appropriate null and alternate hypothesis to determine if the distribution of hotline callers is different than the U.S. population distribution?
b) To determine if the callers to a national 800-number hotline are different than the national averages, the hotline had a random sample of 200 callers answer some questions after their call was completed. This data appears below. Use JMP software to test the hypothesis of part a)
c) Using aplha = 0.05, draw a conclusion for the hypothesis test and state the conclusion in the context of the problem.
Caller | Region | Gender |
1 | West | Female |
2 | Northeast | Male |
3 | Northeast | Female |
4 | West | Male |
5 | South | Female |
6 | South | Female |
7 | South | Female |
8 | West | Female |
9 | West | Female |
10 | Northeast | Female |
11 | South | Female |
12 | West | Female |
13 | West | Male |
14 | Northeast | Female |
15 | West | Female |
16 | Northeast | Female |
17 | Midwest | Female |
18 | South | Female |
19 | South | Male |
20 | Midwest | Male |
21 | South | Male |
22 | South | Male |
23 | West | Female |
24 | Northeast | Male |
25 | Midwest | Female |
26 | West | Female |
27 | West | Female |
28 | West | Male |
29 | Northeast | Male |
30 | Northeast | Female |
31 | South | Female |
32 | West | Male |
33 | West | Male |
34 | West | Female |
35 | South | Female |
36 | Midwest | Male |
37 | South | Female |
38 | Midwest | Female |
39 | Midwest | Male |
40 | West | Male |
41 | Midwest | Male |
42 | West | Female |
43 | Midwest | Male |
44 | West | Male |
45 | South | Female |
46 | Midwest | Male |
47 | Northeast | Male |
48 | West | Female |
49 | South | Female |
50 | Northeast | Male |
51 | Midwest | Male |
52 | South | Female |
53 | South | Female |
54 | West | Female |
55 | Northeast | Male |
56 | Northeast | Male |
57 | Midwest | Male |
58 | Northeast | Male |
59 | South | Male |
60 | South | Female |
61 | Northeast | Female |
62 | Midwest | Male |
63 | Northeast | Male |
64 | South | Female |
65 | South | Male |
66 | South | Male |
67 | Midwest | Male |
68 | Northeast | Female |
69 | Midwest | Male |
70 | Northeast | Female |
71 | West | Female |
72 | South | Male |
73 | West | Male |
74 | South | Male |
75 | West | Female |
76 | Northeast | Male |
77 | South | Female |
78 | Northeast | Female |
79 | South | Male |
80 | Midwest | Male |
81 | South | Female |
82 | Midwest | Female |
83 | Northeast | Male |
84 | South | Female |
85 | South | Female |
86 | Midwest | Female |
87 | Midwest | Female |
88 | West | Female |
89 | South | Female |
90 | Northeast | Male |
91 | West | Male |
92 | Midwest | Male |
93 | South | Female |
94 | Northeast | Male |
95 | West | Male |
96 | Midwest | Female |
97 | South | Male |
98 | West | Female |
99 | South | Female |
100 | Northeast | Female |
101 | West | Male |
102 | South | Male |
103 | West | Female |
104 | Midwest | Female |
105 | South | Female |
106 | Midwest | Male |
107 | Northeast | Female |
108 | South | Female |
109 | South | Female |
110 | West | Female |
111 | South | Female |
112 | Midwest | Male |
113 | Midwest | Male |
114 | Midwest | Male |
115 | South | Female |
116 | Midwest | Female |
117 | West | Female |
118 | Midwest | Male |
119 | Midwest | Male |
120 | Northeast | Female |
121 | Northeast | Male |
122 | Midwest | Male |
123 | South | Female |
124 | Midwest | Male |
125 | South | Male |
126 | Midwest | Female |
127 | Northeast | Female |
128 | Midwest | Male |
129 | Northeast | Female |
130 | West | Male |
131 | Midwest | Male |
132 | South | Female |
133 | Midwest | Male |
134 | South | Female |
135 | Midwest | Male |
136 | South | Male |
137 | Midwest | Male |
138 | South | Female |
139 | Northeast | Male |
140 | West | Male |
141 | Northeast | Male |
142 | South | Male |
143 | West | Female |
144 | West | Female |
145 | West | Female |
146 | Midwest | Male |
147 | South | Female |
148 | Midwest | Female |
149 | West | Female |
150 | Midwest | Male |
151 | South | Male |
152 | Midwest | Male |
153 | Midwest | Female |
154 | South | Female |
155 | South | Male |
156 | Midwest | Male |
157 | South | Female |
158 | South | Male |
159 | South | Female |
160 | Midwest | Male |
161 | Midwest | Male |
162 | Midwest | Male |
163 | South | Male |
164 | Midwest | Female |
165 | Midwest | Female |
166 | Midwest | Female |
167 | West | Male |
168 | Northeast | Male |
169 | Midwest | Male |
170 | Northeast | Female |
171 | Midwest | Male |
172 | West | Female |
173 | West | Female |
174 | South | Female |
175 | Northeast | Male |
176 | South | Female |
177 | West | Female |
178 | Northeast | Male |
179 | Northeast | Female |
180 | West | Male |
181 | Northeast | Female |
182 | Midwest | Female |
183 | Midwest | Male |
184 | Midwest | Male |
185 | South | Female |
186 | Northeast | Male |
187 | South | Female |
188 | Midwest | Male |
189 | South | Female |
190 | West | Female |
191 | South | Female |
192 | West | Female |
193 | South | Female |
194 | Midwest | Male |
195 | Northeast | Female |
196 | South | Female |
197 | West | Female |
198 | West | Male |
199 | West | Female |
200 | Northeast | Male |
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