The Damon family owns a large grape vineyard in western New York along Lake Erie. The...

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The Damon family owns a large grape vineyard in western New Yorkalong Lake Erie. The grapevines must be sprayed at the beginning ofthe 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 andsprayed with Pernod 5, and three others were sprayed with Action.When the grapes ripened, 440 of the vines treated with Pernod 5were checked for infestation. Likewise, a sample of 360 vinessprayed with Action were checked. The results are:
Insecticide Number of Vines
Checked (sample size) Number of
Infested Vines
Pernod 5 440 42
Action 360 22
At the 0.10 significance level, can we conclude that there is adifference in the proportion of vines infested using Pernod 5 asopposed to Action? Hint: For the calculations, assume thePernod 5 as the first sample.
a) state the decision rule
b) compute the pooled proportion
c) Compute the value of the test statistic
d) What is your decision regarding the null hypothesis?

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p1 Proportion ofvines infested using Pernod 5p2 Proportion ofvines infested using ActionNull Hypothesis Ho p1p2 or p1p2 0Alternative hypothesis H1 p1p2or p1p2 0Two tailed testa state the decision ruleGiven Significance level 010For two tailed See Answer

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Insecticide	Number of Vines Checked (sample size)	Number of Infested Vines
Pernod 5	440	42
Action	360	22