The water crisis in Flint, MI (see https://en.wikipedia.org/wiki/Flint_water_crisis(Links to an external site.) for more detail) hit the national news in 2016. The person who unveiled the lead problem was Marc Edwards, a professor of civil engineering at Virginia Tech University (and a recent McArthur Genius Award recipient for his work!).

According to the Environmental Protection Agency (EPA), water lead levels of 15 ppb (parts per billion) or less are considered to be safe. If lead concentrations exceed 15 ppb in more than 10% of customer water taps sampled, then an unsafe water alert will go out to customers.

The data that was used to uncover this problem is in the table below. Only the tests performed on the first draw (first sample taken from a given source) are included.

SampleID	Zip Code	Ward	Pb Bottle 1 (ppb) - First Draw
1	48504	6	0.344
2	48507	9	8.133
4	48504	1	1.111
5	48507	8	8.007
6	48505	3	1.951
7	48507	9	7.2
8	48507	9	40.63
9	48503	5	1.1
12	48507	9	10.6
13	48505	3	6.2
15	48507	9	4.358
16	48505	5	24.37
17	48505	2	6.609
18	48503	7	4.062
19	48507	9	2.484
20	48507	9	0.438
21	48503	5	1.29
22	48504	6	0.548
23	48504	2	3.131
24	48504	6	120
25	48505	1	2.911
26	48505	5	16.52
27	48505	1	1.984
28	48503	7	5.367
29	48504	2	5.5
30	48506	4	0.639
31	48503	7	6.087
31	48503	7	10.32
33	48503	6	66.88
34	48505	1	20.41
35	48504	6	109.6
36	48503	8	5.06
37	48504	2	2.774
38	48505	3	4.453
39	48505	1	0.4
40	48529	9	0.974
41	48505	5	3.228
42	48505	2	12.55
43	48505	3	0.501
44	48504	2	2.448
45	48505	3	5.508
46	48504	6	1.293
47	48505	1	4.699
48	48504	6	6.093
49	48504	2	0.8
50	48503	5	1.626
51	48507	8	2.576
52	48504	1	2.362
53	48503	5	1.585
54	48506	4	3.058
55	48506	4	2.423
56	48503	8	30.91
57	48503	8	4.47
58	48505	1	2.172
59	48505	3	1.8
63	48503	5	0.965
65	48505	1	7.636
66	48506	3	3.158
67	48503	7	105.3
68	48506	3	4.476
69	48504	1	2.828
71	48503	5	2.481
72	48507	5	11.52
73	48507	8	3.784
74	48503	5	1.344
75	48504	6	11.93
76	48507	9	10.96
77	48504	6	3.341
78	48503	5	1.229
79	48503	6	6.3
79	48503	6	5.153
80	48504	6	6.054
82	48504	2	31.14
83	48504	6	102.7
84	48504	2	1.38
85	48505	3	1.132
87	48507	9	3.232
88	48532	8	0.507
90	48506	4	8.561
91	48505	3	9.997
92	48504	1	4.152
93	48504	2	75.82
95	48506	4	138.8
96	48507	9	0.8
97	48504	2	7.244
98	48506	3	1.621
99	48505	1	1.032
100	48504	2	0.866
101	48504	2	2.525
102	48505	5	9.408
103	48505	0	0.739
104	48505	1	0.9
105	48504	2	1.403
106	48503	8	5.655
107	48505	2	31.06
108	48506	4	1.469
109	48505	1	23.85
110	48505	2	9.766
111	48505	1	4.69
112	48505	3	4.066
113	48505	1	0.846
114	48505	1	2.054
115	48506	7	3.744
116	48507	9	12.9
117	48505	1	0.543
118	48503	7	6.877
119	48505	1	0.552
121	48506	3	59
122	48506	4	0.349
123	48506	4	4.764
124	48506	4	0.832
125	48506	4	1.224
126	48507	9	15.9
127	48506	4	5.667
128	48506	4	3.564
129	48506	4	0.475
130	48507	9	5.3
131	48506	4	1.166
132	48506	4	0.684
133	48503	8	6.347
134	48507	9	10.56
135	48502	5	2.273
136	48505	1	1.571
137	48503	8	5.402
138	48504	6	43.19
139	48503	8	1.492
140	48503	5	66.24
141	48505	1	1.799
142	48503	8	1.861
143	48503	8	2.672
144	48505	1	3.741
145	48506	4	1.934
146	48506	4	27.05
147	48506	4	1.174
148	48507	9	2.325
149	48506	4	1.966
150	48506	4	1.959
151	48506	4	0.823
152	48506	4	11.2
153	48504	2	5.668
154	48506	4	6.261
155	48506	4	4.797
156	48506	4	0.64
158	48507	9	8.713
159	48507	9	2.544
161	48507	9	0.41
162	48503	7	32.85
163	48503	7	12.87
164	48503	8	38.02
165	48507	9	2.435
166	48507	9	2.997
167	48507	9	11
168	48507	9	6.219
169	48503	8	8.8
170	48504	6	8.071
171	48507	9	3.262
172	48503	8	2.267
173	48505	3	0.922
174	48504	6	27.02
176	48503	8	0.906
177	48507	9	2.85
178	48504	2	1.852
179	48506	4	5.35
180	48503	7	25.21
182	48504	6	15.55
183	48506	4	0.793
184	48506	4	5.068
185	48507	8	26.64
186	48506	4	1.867
189	48506	4	19.16
191	48503	5	28.7
192	48507	9	20.22
193	48507	8	2.9
194	48503	7	18.86
195	48507	9	2.816
196	48506	3	118.4
197	48506	3	27.45
198	48503	7	1.2
200	48506	4	4.681
201	48506	3	11.57
202	48532	8	6.557
203	48505	3	3.4
204	48504	6	0.7
205	48507	8	158
206	48506	4	0.977
207	48503	8	8.471
208	48507	9	11.47
209	48503	7	5.228
210	48507	9	0.956
211	48504	6	1.671
212	48507	9	1.152
213	48507	9	0.5
214	48503	5	10.74
215	48507	9	3.9
216	48507	9	2.149
217	48506	4	1.1
218	48507	9	7.087
219	48505	1	1.329
220	48507	9	6.2
221	48505	3	0.8
222	48503	8	9.3
223	48504	2	2.1
224	48505	1	4.563
225	48504	2	4.808
226	48504	2	0.753
227	48505	1	1.862
228	48503	7	1.183
229	48503	7	8.2
230	48504	6	3.679
231	48505	1	2.37
234	48504	2	0.828
235	48503	7	0.719
236	48504	1	2.822
237	48504	8	2.867
238	48503	7	2.332
240	48503	8	4.401
241	48504	6	2.708
242	48504	6	34.13
243	48503	7	5.218
244	48503	7	15.73
245	48504	6	3.045
246	48503	7	1.1
247	48503	7	1.386
248	48504	6	0.915
249	48504	6	2.145
250	48507	8	4.056
251	48503	7	1.668
252	48503	7	7.575
253	48507	8	5.59
254	48503	5	0.708
255	48504	6	1.701
256	48504	6	1.467
258	48504	2	2.582
259	48505	2	22.08
260	48507	8	16.51
262	48507	8	56.26
263	48504	6	2.433
264	48503	7	0.5
265	48504	6	29.13
266	48505	1	12.3
267	48504	6	3.445
268	48507	9	16.49
269	48503	7	3.365
270	48503	7	1.154
271	48507	9	13.53
272	48504	6	2.229
273	48503	7	28.91
274	48503	7	6.601
275	48507	9	0.948
276	48505	3	3.484
278	48503	7	1.888
279	48503	7	13.95
280	48504	6	6.27
281	48506	7	19.12
282	48507	9	1.633
283	48503	7	1.114
284	48503	7	3.9
285	48504	1	3.521
286	48507	9	3.832
287	48505	3	3.243
289	48503	7	0.99
290	48507	9	1.203
291	48506	3	2.261
292	48503	4	16.99
293	48503	7	3.322
294	48506	4	14.33
295	48503	7	18.11
296	48503	7	12.81
298	48503	7	1.083
299	48503	7	29.59
300	48505	1	4.287

Your task is to analyze this data to determine whether the water is safe or not, based on the EPA guidelines indicated above. Your submission for this question should be a PDF file which includes:

1. A clear statement of your null and alternate hypotheses, with mathematical notation supplemented with a narrative statement if necessary;
2. Excel output with appropriate hypothesis test results (please do not include the original data);
3. A judgment about the null hypothesis based on your test results; and
4. A clear, practical interpretation of these results that you can present to a non-technical audience. Remember, the question you are answering is, "Should an unsafe water alert be issued?" and you are using the EPA guidelines to make this decision based on the results you obtained.