Each of two pesticide brands is applied to 100 containers of fire ants. Brand1 killed all ants in 65 of 100 containers within two hours, and Brand 2 killed all ants in 58 of 100 containers within two hours. a. Is there statistically significant evidence to suggest Brand 1 works better? Use the hypothesis test based on the normal distribution. Be sure to check all assumptions, obtain the p-value, and state your conclusion. b. Apply Fisher’s exact test in part (a) and compare. c. Obtain a 95% confidence interval for the difference between the two proportions. Interpret the interval.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Each of two pesticide brands is applied to 100 containers of fire ants. Brand1 killed all ants in 65 of 100 containers within two hours, and Brand 2 killed all ants in 58 of 100 containers within two hours.


a. Is there statistically significant evidence to suggest Brand 1 works better? Use the hypothesis test based on the normal distribution. Be sure to check all assumptions, obtain the p-value, and state your conclusion.

b. Apply Fisher’s exact test in part (a) and compare.

c. Obtain a 95% confidence interval for the difference between the two proportions. Interpret the interval.

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