For each permit issued, the department inspects the result of the project and gives a "pass" or "fail" rating. A failed project must be re-inspected until it receives a pass rating. The department had been frustrated by the high cost of re-inspection rate and decided to publish the inspection records of all contractors on the web. It was hoped that public access to the records would lower the re-inspection rate. A year after the web access was made public, two samples of records were randomly selected. One sample was selected from the pool of records before web publication and one after. The proportion of projects that passed on the first inspected was noted for each sample. The results are summarized below. No Public Web Access ni = 500, ĝ1 = 0.67 Public Web Access n2 = 100, p2 = 0.80 A test, at a 0.10 level of significance, is to be conducted as to whether there is sufficient evidence to conclude that public web access to the inspection records has increased the proportion of projects that passed on the first inspection by more than five percentage points. Taking into account the labeling of the populations, the following hypotheses are being considered. Họ : P1 – P2 = -0.05 versus Hj : pi – P2 < -0.05. Note that, using the notation adopted in class, we have that xj = 335 and x2 = 80. The value of the test statistic equals (Give your answer precise to two decimal places, e.g., 4.81, -2.37, -1.20.) The p-value equals: . (Give your answer precise to five decimal places, e.g., 0.37448, 0.14917.) The data sufficient evidence, at the 0.10 level of significance, to indicate that the rate of passing on the first inspection has increased by more than 5 percentage points since records were publicly posted on the web. (Write "provide" or "do not provide".)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The department of code enforcement of a country government issues permits to general contractors to work on residential projects.
For each permit issued, the department inspects the result of the project and gives a "pass" or "fail" rating.
A failed project must be re-inspected until it receives a pass rating.
The department had been frustrated by the high cost of re-inspection rate and decided to publish the inspection records of all
contractors on the web.
It was hoped that public access to the records would lower the re-inspection rate.
A year after the web access was made public, two samples of records were randomly selected.
One sample was selected from the pool of records before web publication and one after.
The proportion of projects that passed on the first inspected was noted for each sample.
The results are summarized below.
No Public Web Access
nį = 500, ĝ1 = 0.67
Public Web Access
n2 = 100, p2 = 0.80
A test, at a 0.10 level of significance, is to be conducted as to whether there is sufficient evidence to conclude that public web access
to the inspection records has increased the proportion of projects that passed on the first inspection by more than five percentage
points.
Taking into account the labeling of the populations, the following hypotheses are being considered.
Họ : P1 – P2 = -0.05 versus H1 : P1 - P2 < -0.05.
Note that, using the notation adopted in class, we have that x1 = 335 and x2 = 80.
The value of the test statistic equals
(Give your answer precise to two decimal places, e.g., 4.81, -2.37, -1.20.)
The p-value equals:
(Give your answer precise to five decimal places, e.g., 0.37448, 0.14917.)
The data
sufficient evidence, at the 0.10 level of significance, to indicate that the rate of passing on the first
inspection has increased by more than 5 percentage points since records were publicly posted on the web. (Write "provide" or "do not
provide".)
Transcribed Image Text:The department of code enforcement of a country government issues permits to general contractors to work on residential projects. For each permit issued, the department inspects the result of the project and gives a "pass" or "fail" rating. A failed project must be re-inspected until it receives a pass rating. The department had been frustrated by the high cost of re-inspection rate and decided to publish the inspection records of all contractors on the web. It was hoped that public access to the records would lower the re-inspection rate. A year after the web access was made public, two samples of records were randomly selected. One sample was selected from the pool of records before web publication and one after. The proportion of projects that passed on the first inspected was noted for each sample. The results are summarized below. No Public Web Access nį = 500, ĝ1 = 0.67 Public Web Access n2 = 100, p2 = 0.80 A test, at a 0.10 level of significance, is to be conducted as to whether there is sufficient evidence to conclude that public web access to the inspection records has increased the proportion of projects that passed on the first inspection by more than five percentage points. Taking into account the labeling of the populations, the following hypotheses are being considered. Họ : P1 – P2 = -0.05 versus H1 : P1 - P2 < -0.05. Note that, using the notation adopted in class, we have that x1 = 335 and x2 = 80. The value of the test statistic equals (Give your answer precise to two decimal places, e.g., 4.81, -2.37, -1.20.) The p-value equals: (Give your answer precise to five decimal places, e.g., 0.37448, 0.14917.) The data sufficient evidence, at the 0.10 level of significance, to indicate that the rate of passing on the first inspection has increased by more than 5 percentage points since records were publicly posted on the web. (Write "provide" or "do not provide".)
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