Permethrin is a chemical that is recommended as a way of controlling insects. One study on...

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Permethrin is a chemical that is recommended as a way of controlling insects. One study on the effectiveness of Permethrin on plant leaves inspected 96 plants and reported a 90% t confidence interval of: (6.132, 8.268) for the average number of insects on plants treated with Permethrin. a. What would be the test statistic and p value obtained if the researchers had instead used their sample data study for a t hypothesis test of Ho 29 vs HA: μ< 9? b. Explain how you could know that the p value for the one-sided hypothesis test Hou≥ 9 vs HA μ<9 was less than 5% just by seeing that both confidence interval bounds were below μ = 9. Permethrin is a chemical that is recommended as a way of controlling insects. One study on the effectiveness of Permethrin on plant leaves inspected 96 plants and reported a 90% t confidence interval of: (6.132, 8.268) for the average number of insects on plants treated with Permethrin. a. What would be the test statistic and p value obtained if the researchers had instead used their sample data study for a t hypothesis test of Ho 29 vs HA: μ< 9? b. Explain how you could know that the p value for the one-sided hypothesis test Hou≥ 9 vs HA μ<9 was less than 5% just by seeing that both confidence interval bounds were below μ = 9.

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Solution a The test statistic for the ttest would be t sample mean population mean standard deviatio... View the full answer