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 |