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Killing moths with carbon dioxide. A University of South
Chapter 8, Problem 110SE(choose chapter or problem)
Problem 110SE
Killing moths with carbon dioxide. A University of South Florida biologist conducted an experiment to determine whether increased levels of carbon dioxide kill leaf-eating moths (USF Magazine, Winter 1999). Moth larvae were placed in open containers filled with oak leaves. Half the containers had normal carbon dioxide levels, while the other half had double the normal level of carbon dioxide. Ten percent of the larvae in the containers with high carbon dioxide levels died, compared to 5% in the containers with normal levels. Assume that 80 moth larvae were placed, at random, in each of the two types of containers. Do the experimental results demonstrate that an increased level of carbon dioxide is effective in killing a higher percentage of leaf-eating moth larvae? Test using α = .01.
Questions & Answers
QUESTION:
Problem 110SE
Killing moths with carbon dioxide. A University of South Florida biologist conducted an experiment to determine whether increased levels of carbon dioxide kill leaf-eating moths (USF Magazine, Winter 1999). Moth larvae were placed in open containers filled with oak leaves. Half the containers had normal carbon dioxide levels, while the other half had double the normal level of carbon dioxide. Ten percent of the larvae in the containers with high carbon dioxide levels died, compared to 5% in the containers with normal levels. Assume that 80 moth larvae were placed, at random, in each of the two types of containers. Do the experimental results demonstrate that an increased level of carbon dioxide is effective in killing a higher percentage of leaf-eating moth larvae? Test using α = .01.
ANSWER:
Step 1 of 2
It is given that 10% of the larvae in the container with double the normal level of carbon
dioxide and 5% of larvae in the container with the normal level of carbon dioxide were
died.
Also it is given that 80 moth larvae were placed at random in each of the two containers.
That means, we have
Here we have to test whether there is enough evidence to claim that an increase in the
carbon dioxide level will kill a higher percentage of leaf-eating moth larvae.
Thus, we set the null and alternative hypotheses as follows:
Versus
This is a right-tailed test.
Also we set 