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The Damon family owns a large grape vineyard in the Niagara Peninsula. The grapevines must be sprayed at the beginning of the growing season to
The Damon family owns a large grape vineyard in the Niagara Peninsula. The grapevines must be sprayed at the beginning of the growing season to protect them against various insects and diseases. Two new insecticides havejust been marketed: Pernod 5 and Action. To test their effectiveness, six long rows were selected. Three rows were sprayed with Pernod 5 and three were sprayed with Action. When the grapes ripened, 300 ofthe vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 300 vines sprayed with Action was checked. The results are: Number of Vines Checked Number of Infested Insecticide (sample size) Vines Pernod 5 368 21 Action 386 39 Can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Test at the 0.02 significance level. Determine and interpret the pvalue. a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.) H0 is rejected if z b. Compute the pooled proportion. (Round the final answer to 2 decimal places.) Pooled proportion c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the intermediate calculations and nal answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding the null hypothesis? H0 is (Click to select] V . e. Determine the pvalue. {Round the z-value to 2 decimal places. Round the final answer to 4 decimal places.) The pvalue is
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