art 2: Hypothesis Test for the Population Proportion - Required Manual Tasks • Define your concern of interest drawing upon your variables in your dataset. • Conceptualize your null and alternate hypotheses based on your testing concept. a. Apply 1 one-sided test (upper-tail or lower-tail) and 1 two-sided test concepts for the population proportion at 1%, 5%, or 10% levels of significance (choose one of them) by stating the appropriate decision rule. b. Calculate p-value for each of your tests and perform testing for your same hypotheses with p-value solution. Comment on how p-value changes for 1%, 5%, and 10% significance levels (for all three). **Here in order to apply normal distribution approximation, you should be careful about verifying np(1-p) > 5 as a rule of thumb.
| WaterBill | ElectricBill |
| 97 | 144 |
| 153 | 204 |
| 109 | 205 |
| 110 | 202 |
| 105 | 171 |
| 117 | 162 |
| 30 | 65 |
| 153 | 164 |
| 145 | 158 |
| 36 | 70 |
| 129 | 179 |
| 159 | 240 |
| 123 | 212 |
| 139 | 209 |
| 74 | 154 |
| 144 | 179 |
| 127 | 205 |
| 134 | 206 |
| 110 | 154 |
| 118 | 206 |
| 81 | 185 |
| 78 | 204 |
| 107 | 137 |
| 121 | 189 |
| 110 | 189 |
| 91 | 227 |
| 89 | 179 |
| 156 | 202 |
| 130 | 134 |
| 50 | 90 |
| 123 | 220 |
| 145 | 260 |
| 98 | 176 |
| 131 | 187 |
| 76 | 213 |
| 103 | 125 |
| 67 | 102 |
| 119 | 227 |
| 85 | 128 |
| 131 | 232 |
| 82 | 142 |
| 114 | 196 |
| 86 | 226 |
| 91 | 200 |
| 131 | 175 |
| 107 | 195 |
| 157 | 127 |
| 142 | 196 |
| 86 | 143 |
| 68 | 192 |
| 123 | 124 |
| 112 | 208 |
| 116 | 181 |
| 97 | 162 |
| 77 | 154 |
| 140 | 219 |
| 79 | 179 |
| 67 | 140 |
| 119 | 199 |
| 104 | 170 |
| 99 | 139 |
| 109 | 163 |
| 138 | 164 |
| 142 | 209 |
| 114 | 156 |
| 78 | 204 |
| 116 | 166 |
| 121 | 180 |
| 140 | 124 |
| 158 | 262 |
| 84 | 117 |
| 138 | 167 |
art 2: Hypothesis Test for the Population Proportion
- Required Manual Tasks
• Define your concern of interest drawing upon your variables in your dataset.
• Conceptualize your null and alternate hypotheses based on your testing concept.
a. Apply 1 one-sided test (upper-tail or lower-tail) and 1 two-sided test concepts for the
population proportion at 1%, 5%, or 10% levels of significance (choose one of them)
by stating the appropriate decision rule.
b. Calculate p-value for each of your tests and perform testing for your same hypotheses
with p-value solution. Comment on how p-value changes for 1%, 5%, and 10%
significance levels (for all three).
**Here in order to apply
about verifying np(1-p) > 5 as a rule of thumb.
c. Make a confidence
95% and 99% confidence levels and make interpretations for all three
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