Highway safety engineers test new dynamic message signs, hoping that increased brightness will make them more visible to drivers. Volunteers drive through a test course with several of the new- and old-style signs and rate which kind shows up the best. Complete parts a through f. ... a) Is this a one-tailed or a two-tailed test? Why? OA. This is a one-tailed because the interest is only in whether the new design is more visible. If it's less visible, it does not matter how much less visible it is. OB. This is a two-tailed test because the interest is whether the visibility is different, not how the visibility is different. OC. This is a one-tailed test because there is only one sample proportion. OD. This is a two-tailed test because all dynamic message signs are either visible or not visible. b) In this context, what would a Type I error be? OA. A Type I error is failing to decide that new-style signs are more visible when, in fact, they are. OB. A Type I error is failing to decide that new-style signs are more visible when they are not. OC. A Type l'error is deciding that new-style signs are more visible when they are not. OD. A Type I error is deciding that new-style signs are not more visible when, in fact, they are not. O E. There is no Type I error in this context. c) In this context, what would a Type II error be?
Highway safety engineers test new dynamic message signs, hoping that increased brightness will make them more visible to drivers. Volunteers drive through a test course with several of the new- and old-style signs and rate which kind shows up the best. Complete parts a through f. ... a) Is this a one-tailed or a two-tailed test? Why? OA. This is a one-tailed because the interest is only in whether the new design is more visible. If it's less visible, it does not matter how much less visible it is. OB. This is a two-tailed test because the interest is whether the visibility is different, not how the visibility is different. OC. This is a one-tailed test because there is only one sample proportion. OD. This is a two-tailed test because all dynamic message signs are either visible or not visible. b) In this context, what would a Type I error be? OA. A Type I error is failing to decide that new-style signs are more visible when, in fact, they are. OB. A Type I error is failing to decide that new-style signs are more visible when they are not. OC. A Type l'error is deciding that new-style signs are more visible when they are not. OD. A Type I error is deciding that new-style signs are not more visible when, in fact, they are not. O E. There is no Type I error in this context. c) In this context, what would a Type II error be?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Transcribed Image Text:←
Highway safety engineers test new dynamic message signs,
hoping that increased brightness will make them more visible to
drivers. Volunteers drive through a test course with several of
the new- and old-style signs and rate which kind shows up the
best. Complete parts a through f.
a) Is this a one-tailed or a two-tailed test? Why?
OA. This is a one-tailed because the interest is only in
whether the new design is more visible. If it's less
visible, it does not matter how much less visible it is.
B. This is a two-tailed test because the interest is whether
the visibility is different, not how the visibility is different.
OC. This is a one-tailed test because there is only one
sample proportion.
D. This is a two-tailed test because all
dynamic message signs are either visible or not visible.
b) In this context, what would a Type I error be?
OA. A Type I error is failing to decide that new-style signs
are more visible when, in fact, they are.
OB. A Type I error is failing to decide that new-style signs
are more visible when they are not.
OC. A Type l'error is deciding that new-style signs are more
visible when they are not.
D. A Type I error is deciding that new-style signs are not
more visible when, in fact, they are not.
E.
There is no Type I error in this context.
c) In this context, what would a Type II error be?
OA. A Type II error is deciding that new design signs are not
more visible when, in fact, they are not.
OB. A Type Il error is failing to decide that new design signs
are more visible when they are not.
OC. A Type Il error is deciding that new design signs are
more visible when they are not.
Transcribed Image Text:K
Highway safety engineers test new dynamic message signs,
hoping that increased brightness will make them more visible to
drivers. Volunteers drive through a test course with several of
the new- and old-style signs and rate which kind shows up the
best. Complete parts a through f.
OD. A Type Il error is failing to decide that new design signs
are more visible when, in fact, they are.
O E. There is no Type II error in this context.
d) In this context, what is meant by the power of the test?
OA. The power of this test is the probability of incorrectly
determining the sign is less visible.
OB. The power of this test is the probability of incorrectly
detecting that a less visible sign works.
OC. The power of this test is the probability of detecting that
a more visible sign works.
D. The power of this test is the probability of correctly
determining the sign is less visible.
E. There is no power of the test in this context.
e) If the hypothesis is tested at the 5% level of significance
instead of 1%, how will this affect the power of the test?
OA. The power of the test will increase because the level of
significance decreased.
B. The power of the test will decrease because the level of
significance decreased.
OC. The power of the test will decrease because the level of
significance increased.
OD. The power of the test will increase because the level of
significance increased.
f) The engineers hoped to base their decision on the reactions of
65 drivers, but time and budget constraints may force them to
cut back to 33. How would this affect the power of the test?
Explain.
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