5. After each government project is completed, the concerned department inspects the project and given a "pass" or "fail" rating. A pass rating is necessary before the appropriate contractor is given the final payment. A failed project must be reinspected until it passes the inspect. The reinspection is both costly and time-consuming. In order to deter failure, the government decided to publicize the inspection records of all contracts. 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 the web publication and one after. The proportion of projects that passed on the first inspection was noted for each sample. + Total samples % pass on first inspection With public 400 68% асcess Without Public 200 81% асcess Test 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 5 percentage points. Use a=0.10. a) Perform hypothesis test. b) Construct the corresponding confidence interval.

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5. After each government project is completed, the concerned department inspects the project
and given a "pass" or "fail" rating. A pass rating is necessary before the appropriate contractor is
given the final payment. A failed project must be reinspected until it passes the inspect. The
reinspection is both costly and time-consuming. In order to deter failure, the government
decided to publicize the inspection records of all contracts. 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 the web publication and one after. The proportion of projects that
passed on the first inspection was noted for each sample.
% pass on first
inspection
Total samples
With public
400
68%
access
Without Public
200
81%
access
Test 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 5 percentage points. Use a=0.10.
a) Perform hypothesis test.
b) Construct the corresponding confidence interval.
Transcribed Image Text:5. After each government project is completed, the concerned department inspects the project and given a "pass" or "fail" rating. A pass rating is necessary before the appropriate contractor is given the final payment. A failed project must be reinspected until it passes the inspect. The reinspection is both costly and time-consuming. In order to deter failure, the government decided to publicize the inspection records of all contracts. 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 the web publication and one after. The proportion of projects that passed on the first inspection was noted for each sample. % pass on first inspection Total samples With public 400 68% access Without Public 200 81% access Test 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 5 percentage points. Use a=0.10. a) Perform hypothesis test. b) Construct the corresponding confidence interval.
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