Answered: f. If there were a Type I or Type Il…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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$# Chapter 9 and 10 - Problems and Exercises ## Exercise 2 In the December 2002 issue of *Consumer Reports*, Consumers Union reported on their investigation of the presence of bacteria in packages of chicken sold in supermarkets. They randomly selected both name brand (*Perdue*) and store-brand chicken in several different U.S. cities. Laboratory tests found *campylobacter* contamination in 25 of the 75 *Perdue* packages, and in 37 of the 75 store brand packages. Does this indicate that shoppers would be safer buying the name-brand product? Use a 5% level of significance. ### Tasks a. **State the null and alternative hypotheses** \[ H_0: \] \[ H_1: \] b. **What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.** c. **Run the calculator test and obtain the P-value.** d. **Based on your P-value, will you reject or fail to reject the null hypothesis?** e. **Interpret your conclusion from part d in the context of this problem.** --- ### Additional Question f. If there were a Type I or Type II error given this sample, what would it be, and what would the implications of that be? --- This text is intended for educational purposes, allowing students to explore hypothesis testing, statistical hypothesis formulation, and interpretation of statistical outcomes in real-world contexts.$

Transcribed Image Text:# Chapter 9 and 10 - Problems and Exercises ## Exercise 2 In the December 2002 issue of *Consumer Reports*, Consumers Union reported on their investigation of the presence of bacteria in packages of chicken sold in supermarkets. They randomly selected both name brand (*Perdue*) and store-brand chicken in several different U.S. cities. Laboratory tests found *campylobacter* contamination in 25 of the 75 *Perdue* packages, and in 37 of the 75 store brand packages. Does this indicate that shoppers would be safer buying the name-brand product? Use a 5% level of significance. ### Tasks a. **State the null and alternative hypotheses** \[ H_0: \] \[ H_1: \] b. **What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.** c. **Run the calculator test and obtain the P-value.** d. **Based on your P-value, will you reject or fail to reject the null hypothesis?** e. **Interpret your conclusion from part d in the context of this problem.** --- ### Additional Question f. If there were a Type I or Type II error given this sample, what would it be, and what would the implications of that be? --- This text is intended for educational purposes, allowing students to explore hypothesis testing, statistical hypothesis formulation, and interpretation of statistical outcomes in real-world contexts.

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