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 have just 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, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 400 vines sprayed with Action was checked. The results are: Can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Test at the 0.01 significance level. Determine and interpret the p-value. a. State the decision rule. (Negative answer should be indicated by a minus A sample of 32 observations is selected from one population with a population standard deviation of 3 . The sample mean is 102 . A sample of 50 observations is selected from a second population with a population standard deviation of 6 . The sample mean is 99. Conduct the following test of hypothesis using the 0.1 significance level: H0:12=0 H1:12=0 a. Is this a one-tailed or a two-tailed test? b. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.) The decision rule is to reject H0 if z is the interval ( x