Question

A clean air standard requires that vehicles exhaust emissions
not exceed specified limits for various pollutants. Many states
require that cars be tested annually to be sure they meet these
standards. Suppose state regulators double check a random sample of
cars that a suspect repair shop has certified as okay. They will
revoke the shop’s license if they find significant evidence that
the shop is certifying vehicles that do not meet standards. If a
hypothesis test were conducted, which of the following statement
about the power of the test is **true**. Check all
that apply.

I) The power of the test will be greater when the state regulators
increase the sample size from 30 to 80 cars in the hypothesis test
procedure. WHY? A larger sample size increases the power of the
test.

II) The power of the test will be greater when the shop is out of
compliance “a lot” than out of compliance "a little". Larger
problems are easier to detect.

III) The power of the test will be greater when the state
regulators increase the level of significance from 5% to 10%. WHY?
There is a greater chance that the null hypothesis will be
rejected.

Answer #1

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there are True I, II and III

The power will be greater when when 80 cars are tested. A larger sample size increases the power of the test.

The power will be greater when the shop is out of compliance “a lot”. Larger problems are easier to detect.

The power will be greater when the level of significance is 10%.
There is a greater chance that the null

hypothesis will be rejected.

A clean air standard requires that vehicles exhaust emissions
not exceed specified limits for various pollutants. Many states
require that cars be tested annually to be sure they meet these
standards. Suppose state regulators double check a random sample of
cars that a suspect repair shop has certified as okay. They will
revoke the shop’s license if they find significant evidence that
the shop is certifying vehicles that do not meet standards. If a
hypothesis test were conducted, which type...

A clean air standard requires that vehicles exhaust emissions
not exceed specified limits for various pollutants. Many states
require that cars be tested annually to be sure they meet these
standards. Suppose state regulators double check a random sample of
cars that a suspect repair shop has certified as okay. They will
revoke the shop’s license if they find significant evidence that
the shop is certifying vehicles that do not meet standards. If a
hypothesis test were conducted, which type...

A clean air standard requires that vehicles exhaust emissions
not exceed specified limits for various pollutants. Many states
require that cars be tested annually to be sure they meet these
standards. Suppose state regulators double check a random sample of
cars that a suspect repair shop has certified as okay. They will
revoke the shop’s license if they find significant evidence that
the shop is certifying vehicles that do not meet standards. If a
hypothesis test were conducted, which type...

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