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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Related questions
Question

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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