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Describe type I and type II errors for a hypothesis test of the indicated claim. A shoe store claims that no more than 25% of its new customers will return to buy their next pair of shoes. Describe the type I error. Choose the correct answer below. C... Describe the type II error. Choose the correct answer below. 16 O A. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you reject Ho: p≥ 0.25. OB. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you fail to reject Ho: p ≤ 0.25. OC. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you fail to reject Ho: p≥ 0.25. O D. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you reject Ho: p ≤ 0.25. OA. A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.25, but you reject Ho: p≥ 0.25. OB. A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.25, but you reject Ho: p≥ 0.25. OC. A type Il error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.25, but you fail to reject Ho: p ≤ 0.25. O D. A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.25, but you fail to reject Ho: p≤0.25.

Describe type I and type II errors for a hypothesis test of the indicated claim. A shoe store claims that no more than 25% of its new customers will return to buy their next pair of shoes. Describe the type I error. Choose the correct answer below. C... Describe the type II error. Choose the correct answer below. 16 O A. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you reject Ho: p≥ 0.25. OB. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you fail to reject Ho: p ≤ 0.25. OC. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you fail to reject Ho: p≥ 0.25. O D. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you reject Ho: p ≤ 0.25. OA. A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.25, but you reject Ho: p≥ 0.25. OB. A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.25, but you reject Ho: p≥ 0.25. OC. A type Il error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.25, but you fail to reject Ho: p ≤ 0.25. O D. A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.25, but you fail to reject Ho: p≤0.25.

MATLAB: An Introduction with Applications
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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### Understanding Type I and Type II Errors in Hypothesis Testing #### Scenario A shoe store claims that no more than 25% of its new customers will return to buy their next pair of shoes. #### Describe Type I Errors A Type I error occurs when the null hypothesis (**H₀**) is true, but we incorrectly reject it. In this scenario, the null hypothesis is **H₀: p ≤ 0.25**, where *p* represents the actual proportion of new customers who return to buy their next pair of shoes. *Choose the correct answer below:* - **A.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you reject **H₀: p ≥ 0.25.** - **B.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you fail to reject **H₀: p ≤ 0.25.** - **C.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you fail to reject **H₀: p ≥ 0.25.** - **D.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you reject **H₀: p ≤ 0.25.** #### Describe Type II Errors A Type II error occurs when the null hypothesis (**H₀**) is false, but we incorrectly fail to reject it. In this scenario, it means we fail to reject the null hypothesis when more than 25% of new customers actually return to buy their next pair of shoes. *Choose the correct answer below:* - **A.** A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.25, but you reject **H₀: p ≥ 0.25.** - **B.** A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.25, but you reject **H₀: p ≥ 0.25
Transcribed Image Text:### Understanding Type I and Type II Errors in Hypothesis Testing #### Scenario A shoe store claims that no more than 25% of its new customers will return to buy their next pair of shoes. #### Describe Type I Errors A Type I error occurs when the null hypothesis (**H₀**) is true, but we incorrectly reject it. In this scenario, the null hypothesis is **H₀: p ≤ 0.25**, where *p* represents the actual proportion of new customers who return to buy their next pair of shoes. *Choose the correct answer below:* - **A.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you reject **H₀: p ≥ 0.25.** - **B.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you fail to reject **H₀: p ≤ 0.25.** - **C.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you fail to reject **H₀: p ≥ 0.25.** - **D.** A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you reject **H₀: p ≤ 0.25.** #### Describe Type II Errors A Type II error occurs when the null hypothesis (**H₀**) is false, but we incorrectly fail to reject it. In this scenario, it means we fail to reject the null hypothesis when more than 25% of new customers actually return to buy their next pair of shoes. *Choose the correct answer below:* - **A.** A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.25, but you reject **H₀: p ≥ 0.25.** - **B.** A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.25, but you reject **H₀: p ≥ 0.25
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