2. The National Park Service is interested in determining whether placing predator cages over the loggerhead turtle nests on Cape Lookout National Seashore will keep raccoons from stealing eggs from the nests. Due to budget constraints, funding for the predator cages will only be approved if the Park Service can provide convincing evidence that the predator cages increase the number of turtles that successfully fledge from the nests. The Park Service plans to collect data from the loggerhead turtle nests which are laid at Cape Lookout one season, 35 of which will have a predator cage placed over them and 35 of which will not. A test of significance will be conducted at a significance level of a =0.05 for the following hypotheses: Họ: µc = HNC Ha: Hc > HNC) where µc is the mean number of eggs that successfully hatch per nest for all loggerhead turtle nests on Cape Lookout with a cage and µnc is the mean number of eggs that successfully hatch per nest for all nests on Cape Lookout with no cage. (a) Describe what a Type I error would be in the context of the study, and also describe a consequence of making this type of error. -3- (b) Each season, the Park Service moves approximately half of the turtle nests at Cape Lookout very soon after they are laid because they are laid in locations that are vulnerable to extreme high tides. The Park Service decides to collect data for their study by randomly selecting 35 of the nests that were moved and placing a cage over them and comparing the fledgling rate to the rate for 35 randomly selected nests that were neither moved nor caged. This resulted in a p-value of 0.0003 for the hypotheses stated above. If it was reasonable to conduct a test of significance for the hypotheses stated above using the data collected, what would the p-value of 0.0003 lead you to conclude? (c) Describe the primary flaw in the study described in part (b), and explain why it is a concern.
2. The National Park Service is interested in determining whether placing predator cages over the loggerhead turtle nests on Cape Lookout National Seashore will keep raccoons from stealing eggs from the nests. Due to budget constraints, funding for the predator cages will only be approved if the Park Service can provide convincing evidence that the predator cages increase the number of turtles that successfully fledge from the nests. The Park Service plans to collect data from the loggerhead turtle nests which are laid at Cape Lookout one season, 35 of which will have a predator cage placed over them and 35 of which will not. A test of significance will be conducted at a significance level of a =0.05 for the following hypotheses: Họ: µc = HNC Ha: Hc > HNC) where µc is the mean number of eggs that successfully hatch per nest for all loggerhead turtle nests on Cape Lookout with a cage and µnc is the mean number of eggs that successfully hatch per nest for all nests on Cape Lookout with no cage. (a) Describe what a Type I error would be in the context of the study, and also describe a consequence of making this type of error. -3- (b) Each season, the Park Service moves approximately half of the turtle nests at Cape Lookout very soon after they are laid because they are laid in locations that are vulnerable to extreme high tides. The Park Service decides to collect data for their study by randomly selecting 35 of the nests that were moved and placing a cage over them and comparing the fledgling rate to the rate for 35 randomly selected nests that were neither moved nor caged. This resulted in a p-value of 0.0003 for the hypotheses stated above. If it was reasonable to conduct a test of significance for the hypotheses stated above using the data collected, what would the p-value of 0.0003 lead you to conclude? (c) Describe the primary flaw in the study described in part (b), and explain why it is a concern.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:2. The National Park Service is interested in determining whether placing predator cages over the
loggerhead turtle nests on Cape Lookout National Seashore will keep raccoons from stealing eggs
from the nests. Due to budget constraints, funding for the predator cages will only be approved if the
Park Service can provide convincing evidence that the predator cages increase the number of turtles
that successfully fledge from the nests.
The Park Service plans to collect data from the loggerhead turtle nests which are laid at Cape
Lookout one season, 35 of which will have a predator cage placed over them and 35 of which will
not. A test of significance will be conducted at a significance level of a = 0.05 for the following
hypotheses:
Ho: µc = HNC
Ha: Hc > HNC>
where µc is the mean number of eggs that successfully hatch per nest for all loggerhead turtle nests
on Cape Lookout with a cage and µnc is the mean number of eggs that successfully hatch per nest
for all nests on Cape Lookout with no cage.
(a) Describe what a Type I error would be in the context of the study, and also describe a
consequence of making this type of error.
-3-
(b) Each season, the Park Service moves approximately half of the turtle nests at Cape Lookout very
soon after they are laid because they are laid in locations that are vulnerable to extreme high
tides. The Park Service decides to collect data for their study by randomly selecting 35 of the
nests that were moved and placing a cage over them and comparing the fledgling rate to the rate
for 35 randomly selected nests that were neither moved nor caged. This resulted in a p-value of
0.0003 for the hypotheses stated above. If it was reasonable to conduct a test of significance for
the hypotheses stated above using the data collected, what would the p-value of 0.0003 lead you
to conclude?
(c) Describe the primary flaw in the study described in part (b), and explain why it is a concern.
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