Discuss the below:
Describe the results of a hypothesis test of one population mean or population proportion. Be sure to include the following in your answer:
Q1. Formulate both a numerical and verbal hypothesis statement regarding your research issue.
Q2. Perform the five-step hypothesis test on data pertaining to your selection.
Step 1: State the null hypothesis and the alternate hypothesis.
Step 2: Select a level of significance (or alpha) which will be used when finding critical value(s).
Step 3: Identify the test statistic.
Step 4: State the decision rule.
Step 5: Take a sample and arrive at a decision.
Q3. Describe the results of your test, and explain how the findings from this hypothesis testing can be used to answer your research question.
Legend:
X1: Selling price (in thousands)
X2: Number of bedrooms
X3: Size of the home in square feet
X4: Pool (0=no, 1=yes)
X5: Distance from the center of the city in miles
X6: Township
X7: Garage attached (0=no, 1=yes)
X8: Number of bathrooms
105 homes sold
| Price |
Bedrooms |
Size |
Pool |
Distance |
Twnship |
Garage |
Baths |
| 263.1 |
4 |
2300 |
1 |
17 |
5 |
1 |
2 |
| 182.4 |
4 |
2100 |
0 |
19 |
4 |
0 |
2 |
| 242.1 |
3 |
2300 |
0 |
12 |
3 |
0 |
2 |
| 213.6 |
2 |
2200 |
0 |
16 |
2 |
0 |
2.5 |
| 139.9 |
2 |
2100 |
0 |
28 |
1 |
0 |
1.5 |
| 245.4 |
2 |
2100 |
1 |
12 |
1 |
1 |
2 |
| 327.2 |
6 |
2500 |
0 |
15 |
3 |
1 |
2 |
| 271.8 |
2 |
2100 |
0 |
9 |
2 |
1 |
2.5 |
| 221.1 |
3 |
2300 |
1 |
18 |
1 |
0 |
1.5 |
| 266.6 |
4 |
2400 |
0 |
13 |
4 |
1 |
2 |
| 292.4 |
4 |
2100 |
0 |
14 |
3 |
1 |
2 |
| 209 |
2 |
1700 |
0 |
8 |
4 |
1 |
1.5 |
| 270.8 |
6 |
2500 |
0 |
7 |
4 |
1 |
2 |
| 246.1 |
4 |
2100 |
0 |
18 |
3 |
1 |
2 |
| 194.4 |
2 |
2300 |
0 |
11 |
3 |
0 |
2 |
| 281.3 |
3 |
2100 |
0 |
16 |
2 |
1 |
2 |
| 172.7 |
4 |
2200 |
1 |
16 |
3 |
0 |
2 |
| 207.5 |
5 |
2300 |
1 |
21 |
4 |
0 |
2.5 |
| 198.9 |
3 |
2200 |
1 |
10 |
4 |
1 |
2 |
| 209.3 |
6 |
1900 |
1 |
15 |
4 |
1 |
2 |
| 252.3 |
4 |
2600 |
0 |
8 |
4 |
1 |
2 |
| 192.9 |
4 |
1900 |
1 |
14 |
2 |
1 |
2.5 |
| 209.3 |
5 |
2100 |
0 |
20 |
5 |
0 |
1.5 |
| 345.3 |
8 |
2600 |
0 |
9 |
4 |
1 |
2 |
| 326.3 |
6 |
2100 |
0 |
11 |
5 |
1 |
3 |
| 173.1 |
2 |
2200 |
1 |
21 |
5 |
1 |
1.5 |
| 187 |
2 |
1900 |
0 |
26 |
4 |
0 |
2 |
| 257.2 |
2 |
2100 |
0 |
9 |
4 |
1 |
2 |
| 233 |
3 |
2200 |
0 |
14 |
3 |
1 |
1.5 |
| 180.4 |
2 |
2000 |
0 |
11 |
5 |
0 |
2 |
| 234 |
2 |
1700 |
0 |
19 |
3 |
1 |
2 |
| 207.1 |
2 |
2000 |
0 |
11 |
5 |
1 |
2 |
| 247.7 |
5 |
2400 |
0 |
16 |
2 |
1 |
2 |
| 166.2 |
3 |
2000 |
1 |
16 |
2 |
1 |
2 |
| 177.1 |
2 |
1900 |
0 |
10 |
5 |
1 |
2 |
| 182.7 |
4 |
2000 |
1 |
14 |
4 |
0 |
2.5 |
| 216 |
4 |
2300 |
0 |
19 |
2 |
0 |
2 |
| 312.1 |
6 |
2600 |
0 |
7 |
5 |
1 |
2.5 |
| 199.8 |
3 |
2100 |
0 |
19 |
3 |
1 |
2 |
| 273.2 |
5 |
2200 |
0 |
16 |
2 |
1 |
3 |
| 206 |
3 |
2100 |
1 |
9 |
3 |
0 |
1.5 |
| 232.2 |
3 |
1900 |
1 |
16 |
1 |
1 |
1.5 |
| 198.3 |
4 |
2100 |
1 |
19 |
1 |
1 |
1.5 |
| 205.1 |
3 |
2000 |
1 |
20 |
4 |
0 |
2 |
| 175.6 |
4 |
2300 |
1 |
24 |
4 |
1 |
2 |
| 307.8 |
3 |
2400 |
1 |
21 |
2 |
1 |
3 |
| 269.2 |
5 |
2200 |
0 |
8 |
5 |
1 |
3 |
| 224.8 |
3 |
2200 |
0 |
17 |
1 |
1 |
2.5 |
| 171.6 |
3 |
2000 |
1 |
16 |
4 |
0 |
2 |
| 216.8 |
3 |
2200 |
0 |
15 |
1 |
1 |
2 |
| 192.6 |
6 |
2200 |
1 |
14 |
1 |
0 |
2 |
| 236.4 |
5 |
2200 |
0 |
20 |
3 |
1 |
2 |
| 172.4 |
3 |
2200 |
0 |
23 |
3 |
0 |
2 |
| 251.4 |
3 |
1900 |
0 |
12 |
2 |
1 |
2 |
| 246 |
6 |
2300 |
0 |
7 |
3 |
1 |
3 |
| 147.4 |
6 |
1700 |
1 |
12 |
1 |
0 |
2 |
| 176 |
4 |
2200 |
0 |
15 |
1 |
1 |
2 |
| 228.4 |
3 |
2300 |
0 |
17 |
5 |
1 |
1.5 |
| 166.5 |
3 |
1600 |
1 |
19 |
3 |
0 |
2.5 |
| 189.4 |
4 |
2200 |
0 |
24 |
1 |
1 |
2 |
| 312.1 |
7 |
2400 |
0 |
13 |
3 |
1 |
3 |
| 289.8 |
6 |
2000 |
0 |
21 |
3 |
1 |
3 |
| 269.9 |
5 |
2200 |
1 |
11 |
4 |
1 |
2.5 |
| 154.3 |
2 |
2000 |
0 |
13 |
2 |
0 |
2 |
| 222.1 |
2 |
2100 |
0 |
9 |
5 |
1 |
2 |
| 209.7 |
5 |
2200 |
1 |
13 |
2 |
1 |
2 |
| 190.9 |
3 |
2200 |
1 |
18 |
3 |
1 |
2 |
| 254.3 |
4 |
2500 |
1 |
15 |
3 |
1 |
2 |
| 207.5 |
3 |
2100 |
1 |
10 |
2 |
0 |
2 |
| 209.7 |
4 |
2200 |
1 |
19 |
2 |
1 |
2 |
| 294 |
2 |
2100 |
0 |
13 |
2 |
1 |
2.5 |
| 176.3 |
2 |
2000 |
1 |
17 |
3 |
0 |
2 |
| 294.3 |
7 |
2400 |
0 |
8 |
4 |
1 |
2 |
| 224 |
3 |
1900 |
1 |
6 |
1 |
1 |
2 |
| 125 |
2 |
1900 |
0 |
18 |
4 |
0 |
1.5 |
| 236.8 |
4 |
2600 |
1 |
17 |
5 |
1 |
2 |
| 164.1 |
4 |
2300 |
0 |
19 |
4 |
0 |
2 |
| 217.8 |
3 |
2500 |
0 |
12 |
3 |
0 |
2 |
| 192.2 |
2 |
2400 |
0 |
16 |
2 |
0 |
2.5 |
| 125.9 |
2 |
2400 |
0 |
28 |
1 |
0 |
1.5 |
| 220.9 |
2 |
2300 |
1 |
12 |
1 |
1 |
2 |
| 294.5 |
6 |
2700 |
0 |
15 |
3 |
1 |
2 |
| 244.6 |
2 |
2300 |
0 |
9 |
2 |
1 |
2.5 |
| 199 |
3 |
2500 |
1 |
18 |
1 |
0 |
1.5 |
| 240 |
4 |
2600 |
0 |
13 |
4 |
1 |
2 |
| 263.2 |
4 |
2300 |
0 |
14 |
3 |
1 |
2 |
| 188.1 |
2 |
1900 |
0 |
8 |
4 |
1 |
1.5 |
| 243.7 |
6 |
2700 |
0 |
7 |
4 |
1 |
2 |
| 221.5 |
4 |
2300 |
0 |
18 |
3 |
1 |
2 |
| 175 |
2 |
2500 |
0 |
11 |
3 |
0 |
2 |
| 253.2 |
3 |
2300 |
0 |
16 |
2 |
1 |
2 |
| 155.4 |
4 |
2400 |
1 |
16 |
3 |
0 |
2 |
| 186.7 |
5 |
2500 |
1 |
21 |
4 |
0 |
2.5 |
| 179 |
3 |
2400 |
1 |
10 |
4 |
1 |
2 |
| 188.3 |
6 |
2100 |
1 |
15 |
4 |
1 |
2 |
| 227.1 |
4 |
2900 |
0 |
8 |
4 |
1 |
2 |
| 173.6 |
4 |
2100 |
1 |
14 |
2 |
1 |
2.5 |
| 188.3 |
5 |
2300 |
0 |
20 |
5 |
0 |
1.5 |
| 310.8 |
8 |
2900 |
0 |
9 |
4 |
1 |
2 |
| 293.7 |
6 |
2400 |
0 |
11 |
5 |
1 |
3 |
| 179 |
3 |
2400 |
0 |
8 |
4 |
1 |
2 |
| 188.3 |
6 |
2100 |
1 |
14 |
2 |
1 |
2.5 |
| 227.1 |
4 |
2900 |
0 |
20 |
5 |
0 |
1.5 |
| 173.6 |
4 |
2100 |
0 |
9 |
4 |
1 |
2 |
| 188.3 |
5 |
2300 |
0 |
11 |
5 |
1 |
3 |