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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. = 500, p, = 0.67 n2 = 100, p2 = 0.80 No Public Web Access Public Web Access 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.

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. = 500, p, = 0.67 n2 = 100, p2 = 0.80 No Public Web Access Public Web Access 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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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 n1 = 500, p1 = 0.67 Public Web Access ny = 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. Ho : Pi - P2 = -0.05 versus H1 : Pi - P2 < -0.05. Note that, using the notation adopted in class, we have that r = 335 and a = 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 n1 = 500, p1 = 0.67 Public Web Access ny = 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. Ho : Pi - P2 = -0.05 versus H1 : Pi - P2 < -0.05. Note that, using the notation adopted in class, we have that r = 335 and a = 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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