Question
d pressure ranges from 90 to 120 mmhg. does the data provide evidence ... Question: Healthy systolic blood pressure ranges from 90 to 120 mmHg.
d pressure ranges from 90 to 120 mmhg. does the data provide evidence ...Question:Healthy systolic blood pressure ranges from 90 to 120 mmHg. Does the data provide evidence that p...
Healthy systolic blood pressure ranges from 90 to 120 mmHg. Does the data provide evidence that patients with heart disease have a mean above this level? Use the dataset and the resting blood pressure variable to conduct a significance test at a 5% significance level and determine if the data does or does not provide significant evidence in favor of the claim that the mean resting blood pressure is greater than 125 mmHg
Variable | Description |
age | Age of patient |
chest pain level | chest pain ranges from 1-4. A value of '1' denotes typical angina, '2' denotes aytpical angina, '3' is non-anginal pain and '4' are asymptomatic (no symptoms). |
resting blood pressure | resting systolic blood pressure in mmHg |
cholesterol level | cholesterol level is the total amount of (serum) cholesterol present in a patient's blood measured in mg/dL. |
fasting blood sugar | fasting blood sugar is a binary variable, with a '1' if the patient's blood sugar level is greater than 120 mg/dL and a '0' if the blood sugar level is less than 120 mg/dL. |
restecg | restecg describes the patient's electrocardiographic (ECG) results when they are at rest. A value of '0' denotes normal results. A value of '1' denotes the patient having ST-T wave abnormality, which can be T wave inversions and/or ST elevation or a depression of greater than 0.05mV. A value of '2' means the patient shows probable or definite left ventricular hypertrophy, |
max hr during thalach | max hr during thalach is the maximum heart rate achieved during a thallium scan, while the patient is exercising. |
exang | exang is a binary variable denoting if a patient has Exercise Induced Angina EIA ('1') or not ('0') |
for the questions requiring the data set can you explain in theory what to do please and thank you
1. State the null and alternative hypothesis.
2.Compute the sample mean and the sample standard deviation from the dataset.
3. Compute a test statistic and P-value. Identify your test statistic as z or t and give the degrees of freedom if necessary.
4. Based on your results, what conclusion do you reach?
5. Briefly explain what the phrase statistically significant means and how it applies to this situation.
6. Discuss the effect on your conclusion above if you increased or decreased the significance level
Patient | age | chest pain level | resting blood pressure | cholesterol level | fasting blood sugar | restecg | max hr during thalach | exang |
1 | 63 | 3 | 145 | 233 | 1 | 0 | 150 | 0 |
2 | 37 | 2 | 130 | 250 | 0 | 1 | 187 | 0 |
3 | 41 | 1 | 130 | 204 | 0 | 0 | 172 | 0 |
4 | 56 | 1 | 120 | 236 | 0 | 1 | 178 | 0 |
5 | 57 | 0 | 120 | 354 | 0 | 1 | 163 | 1 |
6 | 57 | 0 | 140 | 192 | 0 | 1 | 148 | 0 |
7 | 56 | 1 | 140 | 294 | 0 | 0 | 153 | 0 |
8 | 44 | 1 | 120 | 263 | 0 | 1 | 173 | 0 |
9 | 52 | 2 | 172 | 199 | 1 | 1 | 162 | 0 |
10 | 57 | 2 | 150 | 168 | 0 | 1 | 174 | 0 |
11 | 54 | 0 | 140 | 239 | 0 | 1 | 160 | 0 |
12 | 48 | 2 | 130 | 275 | 0 | 1 | 139 | 0 |
13 | 49 | 1 | 130 | 266 | 0 | 1 | 171 | 0 |
14 | 64 | 3 | 110 | 211 | 0 | 0 | 144 | 1 |
15 | 58 | 3 | 150 | 283 | 1 | 0 | 162 | 0 |
16 | 50 | 2 | 120 | 219 | 0 | 1 | 158 | 0 |
17 | 58 | 2 | 120 | 340 | 0 | 1 | 172 | 0 |
18 | 66 | 3 | 150 | 226 | 0 | 1 | 114 | 0 |
19 | 43 | 0 | 150 | 247 | 0 | 1 | 171 | 0 |
20 | 69 | 3 | 140 | 239 | 0 | 1 | 151 | 0 |
21 | 59 | 0 | 135 | 234 | 0 | 1 | 161 | 0 |
22 | 44 | 2 | 130 | 233 | 0 | 1 | 179 | 1 |
23 | 42 | 0 | 140 | 226 | 0 | 1 | 178 | 0 |
24 | 61 | 2 | 150 | 243 | 1 | 1 | 137 | 1 |
25 | 40 | 3 | 140 | 199 | 0 | 1 | 178 | 1 |
26 | 71 | 1 | 160 | 302 | 0 | 1 | 162 | 0 |
27 | 59 | 2 | 150 | 212 | 1 | 1 | 157 | 0 |
28 | 51 | 2 | 110 | 175 | 0 | 1 | 123 | 0 |
29 | 65 | 2 | 140 | 417 | 1 | 0 | 157 | 0 |
30 | 53 | 2 | 130 | 197 | 1 | 0 | 152 | 0 |
31 | 41 | 1 | 105 | 198 | 0 | 1 | 168 | 0 |
32 | 65 | 0 | 120 | 177 | 0 | 1 | 140 | 0 |
33 | 44 | 1 | 130 | 219 | 0 | 0 | 188 | 0 |
34 | 54 | 2 | 125 | 273 | 0 | 0 | 152 | 0 |
35 | 51 | 3 | 125 | 213 | 0 | 0 | 125 | 1 |
36 | 46 | 2 | 142 | 177 | 0 | 0 | 160 | 1 |
37 | 54 | 2 | 135 | 304 | 1 | 1 | 170 | 0 |
38 | 54 | 2 | 150 | 232 | 0 | 0 | 165 | 0 |
39 | 65 | 2 | 155 | 269 | 0 | 1 | 148 | 0 |
40 | 65 | 2 | 160 | 360 | 0 | 0 | 151 | 0 |
41 | 51 | 2 | 140 | 308 | 0 | 0 | 142 | 0 |
42 | 48 | 1 | 130 | 245 | 0 | 0 | 180 | 0 |
43 | 45 | 0 | 104 | 208 | 0 | 0 | 148 | 1 |
44 | 53 | 0 | 130 | 264 | 0 | 0 | 143 | 0 |
45 | 39 | 2 | 140 | 321 | 0 | 0 | 182 | 0 |
46 | 52 | 1 | 120 | 325 | 0 | 1 | 172 | 0 |
47 | 44 | 2 | 140 | 235 | 0 | 0 | 180 | 0 |
48 | 47 | 2 | 138 | 257 | 0 | 0 | 156 | 0 |
49 | 53 | 2 | 128 | 216 | 0 | 0 | 115 | 0 |
50 | 53 | 0 | 138 | 234 | 0 | 0 | 160 | 0 |
51 | 51 | 2 | 130 | 256 | 0 | 0 | 149 | 0 |
52 | 66 | 0 | 120 | 302 | 0 | 0 | 151 | 0 |
53 | 62 | 2 | 130 | 231 | 0 | 1 | 146 | 0 |
54 | 44 | 2 | 108 | 141 | 0 | 1 | 175 | 0 |
55 | 63 | 2 | 135 | 252 | 0 | 0 | 172 | 0 |
56 | 52 | 1 | 134 | 201 | 0 | 1 | 158 | 0 |
57 | 48 | 0 | 122 | 222 | 0 | 0 | 186 | 0 |
58 | 45 | 0 | 115 | 260 | 0 | 0 | 185 | 0 |
59 | 34 | 3 | 118 | 182 | 0 | 0 | 174 | 0 |
60 | 57 | 0 | 128 | 303 | 0 | 0 | 159 | 0 |
61 | 71 | 2 | 110 | 265 | 1 | 0 | 130 | 0 |
62 | 54 | 1 | 108 | 309 | 0 | 1 | 156 | 0 |
63 | 52 | 3 | 118 | 186 | 0 | 0 | 190 | 0 |
64 | 41 | 1 | 135 | 203 | 0 | 1 | 132 | 0 |
65 | 58 | 2 | 140 | 211 | 1 | 0 | 165 | 0 |
66 | 35 | 0 | 138 | 183 | 0 | 1 | 182 | 0 |
67 | 51 | 2 | 100 | 222 | 0 | 1 | 143 | 1 |
68 | 45 | 1 | 130 | 234 | 0 | 0 | 175 | 0 |
69 | 44 | 1 | 120 | 220 | 0 | 1 | 170 | 0 |
70 | 62 | 0 | 124 | 209 | 0 | 1 | 163 | 0 |
71 | 54 | 2 | 120 | 258 | 0 | 0 | 147 | 0 |
72 | 51 | 2 | 94 | 227 | 0 | 1 | 154 | 1 |
73 | 29 | 1 | 130 | 204 | 0 | 0 | 202 | 0 |
74 | 51 | 0 | 140 | 261 | 0 | 0 | 186 | 1 |
75 | 43 | 2 | 122 | 213 | 0 | 1 | 165 | 0 |
76 | 55 | 1 | 135 | 250 | 0 | 0 | 161 | 0 |
77 | 51 | 2 | 125 | 245 | 1 | 0 | 166 | 0 |
78 | 59 | 1 | 140 | 221 | 0 | 1 | 164 | 1 |
79 | 52 | 1 | 128 | 205 | 1 | 1 | 184 | 0 |
80 | 58 | 2 | 105 | 240 | 0 | 0 | 154 | 1 |
81 | 41 | 2 | 112 | 250 | 0 | 1 | 179 | 0 |
82 | 45 | 1 | 128 | 308 | 0 | 0 | 170 | 0 |
83 | 60 | 2 | 102 | 318 | 0 | 1 | 160 | 0 |
84 | 52 | 3 | 152 | 298 | 1 | 1 | 178 | 0 |
85 | 42 | 0 | 102 | 265 | 0 | 0 | 122 | 0 |
86 | 67 | 2 | 115 | 564 | 0 | 0 | 160 | 0 |
87 | 68 | 2 | 118 | 277 | 0 | 1 | 151 | 0 |
88 | 46 | 1 | 101 | 197 | 1 | 1 | 156 | 0 |
89 | 54 | 2 | 110 | 214 | 0 | 1 | 158 | 0 |
90 | 58 | 0 | 100 | 248 | 0 | 0 | 122 | 0 |
91 | 48 | 2 | 124 | 255 | 1 | 1 | 175 | 0 |
92 | 57 | 0 | 132 | 207 | 0 | 1 | 168 | 1 |
93 | 52 | 2 | 138 | 223 | 0 | 1 | 169 | 0 |
94 | 54 | 1 | 132 | 288 | 1 | 0 | 159 | 1 |
95 | 45 | 1 | 112 | 160 | 0 | 1 | 138 | 0 |
96 | 53 | 0 | 142 | 226 | 0 | 0 | 111 | 1 |
97 | 62 | 0 | 140 | 394 | 0 | 0 | 157 | 0 |
98 | 52 | 0 | 108 | 233 | 1 | 1 | 147 | 0 |
99 | 43 | 2 | 130 | 315 | 0 | 1 | 162 | 0 |
100 | 53 | 2 | 130 | 246 | 1 | 0 | 173 | 0 |
101 | 42 | 3 | 148 | 244 | 0 | 0 | 178 | 0 |
102 | 59 | 3 | 178 | 270 | 0 | 0 | 145 | 0 |
103 | 63 | 1 | 140 | 195 | 0 | 1 | 179 | 0 |
104 | 42 | 2 | 120 | 240 | 1 | 1 | 194 | 0 |
105 | 50 | 2 | 129 | 196 | 0 | 1 | 163 | 0 |
106 | 68 | 2 | 120 | 211 | 0 | 0 | 115 | 0 |
107 | 69 | 3 | 160 | 234 | 1 | 0 | 131 | 0 |
108 | 45 | 0 | 138 | 236 | 0 | 0 | 152 | 1 |
109 | 50 | 1 | 120 | 244 | 0 | 1 | 162 | 0 |
110 | 50 | 0 | 110 | 254 | 0 | 0 | 159 | 0 |
111 | 64 | 0 | 180 | 325 | 0 | 1 | 154 | 1 |
112 | 57 | 2 | 150 | 126 | 1 | 1 | 173 | 0 |
113 | 64 | 2 | 140 | 313 | 0 | 1 | 133 | 0 |
114 | 43 | 0 | 110 | 211 | 0 | 1 | 161 | 0 |
115 | 55 | 1 | 130 | 262 | 0 | 1 | 155 | 0 |
116 | 37 | 2 | 120 | 215 | 0 | 1 | 170 | 0 |
117 | 41 | 2 | 130 | 214 | 0 | 0 | 168 | 0 |
118 | 56 | 3 | 120 | 193 | 0 | 0 | 162 | 0 |
119 | 46 | 1 | 105 | 204 | 0 | 1 | 172 | 0 |
120 | 46 | 0 | 138 | 243 | 0 | 0 | 152 | 1 |
121 | 64 | 0 | 130 | 303 | 0 | 1 | 122 | 0 |
122 | 59 | 0 | 138 | 271 | 0 | 0 | 182 | 0 |
123 | 41 | 2 | 112 | 268 | 0 | 0 | 172 | 1 |
124 | 54 | 2 | 108 | 267 | 0 | 0 | 167 | 0 |
125 | 39 | 2 | 94 | 199 | 0 | 1 | 179 | 0 |
126 | 34 | 1 | 118 | 210 | 0 | 1 | 192 | 0 |
127 | 47 | 0 | 112 | 204 | 0 | 1 | 143 | 0 |
128 | 67 | 2 | 152 | 277 | 0 | 1 | 172 | 0 |
129 | 52 | 2 | 136 | 196 | 0 | 0 | 169 | 0 |
130 | 74 | 1 | 120 | 269 | 0 | 0 | 121 | 1 |
131 | 54 | 2 | 160 | 201 | 0 | 1 | 163 | 0 |
132 | 49 | 1 | 134 | 271 | 0 | 1 | 162 | 0 |
133 | 42 | 1 | 120 | 295 | 0 | 1 | 162 | 0 |
134 | 41 | 1 | 110 | 235 | 0 | 1 | 153 | 0 |
135 | 41 | 1 | 126 | 306 | 0 | 1 | 163 | 0 |
136 | 49 | 0 | 130 | 269 | 0 | 1 | 163 | 0 |
137 | 60 | 2 | 120 | 178 | 1 | 1 | 96 | 0 |
138 | 62 | 1 | 128 | 208 | 1 | 0 | 140 | 0 |
139 | 57 | 0 | 110 | 201 | 0 | 1 | 126 | 1 |
140 | 64 | 0 | 128 | 263 | 0 | 1 | 105 | 1 |
141 | 51 | 2 | 120 | 295 | 0 | 0 | 157 | 0 |
142 | 43 | 0 | 115 | 303 | 0 | 1 | 181 | 0 |
143 | 42 | 2 | 120 | 209 | 0 | 1 | 173 | 0 |
144 | 67 | 0 | 106 | 223 | 0 | 1 | 142 | 0 |
145 | 76 | 2 | 140 | 197 | 0 | 2 | 116 | 0 |
146 | 70 | 1 | 156 | 245 | 0 | 0 | 143 | 0 |
147 | 44 | 2 | 118 | 242 | 0 | 1 | 149 | 0 |
148 | 60 | 3 | 150 | 240 | 0 | 1 | 171 | 0 |
149 | 44 | 2 | 120 | 226 | 0 | 1 | 169 | 0 |
150 | 42 | 2 | 130 | 180 | 0 | 1 | 150 | 0 |
151 | 66 | 0 | 160 | 228 | 0 | 0 | 138 | 0 |
152 | 71 | 0 | 112 | 149 | 0 | 1 | 125 | 0 |
153 | 64 | 3 | 170 | 227 | 0 | 0 | 155 | 0 |
154 | 66 | 2 | 146 | 278 | 0 | 0 | 152 | 0 |
155 | 39 | 2 | 138 | 220 | 0 | 1 | 152 | 0 |
156 | 58 | 0 | 130 | 197 | 0 | 1 | 131 | 0 |
157 | 47 | 2 | 130 | 253 | 0 | 1 | 179 | 0 |
158 | 35 | 1 | 122 | 192 | 0 | 1 | 174 | 0 |
159 | 58 | 1 | 125 | 220 | 0 | 1 | 144 | 0 |
160 | 56 | 1 | 130 | 221 | 0 | 0 | 163 | 0 |
161 | 56 | 1 | 120 | 240 | 0 | 1 | 169 | 0 |
162 | 55 | 1 | 132 | 342 | 0 | 1 | 166 | 0 |
163 | 41 | 1 | 120 | 157 | 0 | 1 | 182 | 0 |
164 | 38 | 2 | 138 | 175 | 0 | 1 | 173 | 0 |
165 | 38 | 2 | 138 | 175 | 0 | 1 | 173 | 0 |
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