The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 380 vines sprayed with Action were checked. The results are: Number of Vines Checked (sample Insecticide Pernod 5 Action size) 400 380 Number of Infested Vines 28 36 At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Hint. For the calculations, assume the Pernod 5 as the first sample. a. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.) Ho is rejected if z < or z > b. Compute the pooled proportion. (Do not round the intermediate values. Round your answer to 2 decimal places.) Pooled proportion c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Do not round the intermediate values. Round your answer to 2 decimal places.) Value of the test statistic
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 380 vines sprayed with Action were checked. The results are: Number of Vines Checked (sample Insecticide Pernod 5 Action size) 400 380 Number of Infested Vines 28 36 At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Hint. For the calculations, assume the Pernod 5 as the first sample. a. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.) Ho is rejected if z < or z > b. Compute the pooled proportion. (Do not round the intermediate values. Round your answer to 2 decimal places.) Pooled proportion c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Do not round the intermediate values. Round your answer to 2 decimal places.) Value of the test statistic
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the
beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed:
Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were
sprayed with Action. When the grapes ripened, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a
sample of 380 vines sprayed with Action were checked. The results are:
Number of Vines Checked (sample
Insecticide
Pernod 5
Action
size)
400
380
Number of Infested Vines
28
36
At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed
to Action? Hint. For the calculations, assume the Pernod 5 as the first sample.
a. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round
your answers to 2 decimal places.)
Ho is rejected if z <
or z >
b. Compute the pooled proportion. (Do not round the intermediate values. Round your answer to 2 decimal places.)
Pooled proportion
c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Do not round the intermediate
values. Round your answer to 2 decimal places.)
Value of the test statistic
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