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The Damon family owns a large grape vineyard in western New York along Lake Erle. 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: Insecticide Pernod S Action Number of Vines Checked (sample size) 400 380 At the 0.02 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. Ho is rejected if z < 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.) Pooled proportion b. Compute the pooled proportion. (Do not round the Intermediate values. Round your answer to 2 decimal places.) Number of Infested Vines 26 44 or z> Value of the test statistic 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.) d. What is your decision regarding the null hypothesis? Reject H Do not reject H

The Damon family owns a large grape vineyard in western New York along Lake Erle. 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: Insecticide Pernod S Action Number of Vines Checked (sample size) 400 380 At the 0.02 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. Ho is rejected if z < 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.) Pooled proportion b. Compute the pooled proportion. (Do not round the Intermediate values. Round your answer to 2 decimal places.) Number of Infested Vines 26 44 or z> Value of the test statistic 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.) d. What is your decision regarding the null hypothesis? Reject H Do not reject H

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Damon family owns a large grape vineyard in western New York along Lake Erle. 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: Insecticide Pernod S Action Number of Vines Checked (sample size) 400 380 At the 0.02 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 << Pooled proportion b. Compute the pooled proportion. (Do not round the Intermediate values. Round your answer to 2 decimal places.) Number of Infested Vines 26 44 or z>> Value of the test statistic 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.) d. What is your decision regarding the null hypothesis? Reject He O Do not reject H
Transcribed Image Text:The Damon family owns a large grape vineyard in western New York along Lake Erle. 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: Insecticide Pernod S Action Number of Vines Checked (sample size) 400 380 At the 0.02 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 << Pooled proportion b. Compute the pooled proportion. (Do not round the Intermediate values. Round your answer to 2 decimal places.) Number of Infested Vines 26 44 or z>> Value of the test statistic 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.) d. What is your decision regarding the null hypothesis? Reject He O Do not reject H
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