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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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