Question
An Air Quality instrument logs 0 when standards are not met and 1 when standards are met. The log is in DATA below. First, compute
An Air Quality instrument logs 0 when standards are not met and 1 when standards are met. The log is in DATA below. First, compute the proportion meeting standards as the mean of Air Quality values. Second, at alpha = 0.10 (sensitive, exploratory), test the hypothesis that proportion of times that air quality meets standards is at least 90%.
DATA:
Time | Air Quality |
0:00:00 | 1 |
0:00:30 | 1 |
0:01:00 | 0 |
0:01:30 | 1 |
0:02:00 | 1 |
0:02:30 | 1 |
0:03:00 | 0 |
0:03:30 | 1 |
0:04:00 | 1 |
0:04:30 | 1 |
0:05:00 | 1 |
0:05:30 | 0 |
0:06:00 | 1 |
0:06:30 | 1 |
0:07:00 | 1 |
0:07:30 | 1 |
0:08:00 | 1 |
0:08:30 | 1 |
0:09:00 | 1 |
0:09:30 | 1 |
0:10:00 | 1 |
0:10:30 | 1 |
0:11:00 | 1 |
0:11:30 | 1 |
0:12:00 | 1 |
0:12:30 | 1 |
0:13:00 | 1 |
0:13:30 | 0 |
0:14:00 | 0 |
0:14:30 | 1 |
0:15:00 | 1 |
0:15:30 | 1 |
0:16:00 | 1 |
0:16:30 | 1 |
0:17:00 | 1 |
0:17:30 | 0 |
0:18:00 | 0 |
0:18:30 | 0 |
0:19:00 | 1 |
0:19:30 | 1 |
0:20:00 | 1 |
0:20:30 | 1 |
0:21:00 | 1 |
0:21:30 | 0 |
0:22:00 | 1 |
0:22:30 | 1 |
0:23:00 | 0 |
0:23:30 | 1 |
POSSIBLE ANSWER OPTIONS:
1 | The pvalue of 0.062 indicates that the data provide weak evidence against H0: 0.90. H0 is rejected at = 0.10. |
2 | The pvalue of 0.006 indicates that the data provide overwhelming evidence against H0: 0.90. H0 is rejected at = 0.10. Send out an air quality alert. |
3 | None of the answers match my calculation. |
4 | The pvalue of 0.966 indicates that the data provide insignificant evidence against H0: 0.90. H0 is not rejected at = 0.10. The status quo remains unchanged. |
5 | The pvalue of 0.022 indicates that the data provide strong evidence against H0: 0.90. H0 is rejected at = 0.10. The status quo has changed. |
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