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Identify the type I error and the type Il error that correspond to the given hypothesis. The percentage of households with more than 1 pet is less than 65%. Identify the type I error. Choose the correct answer below. O A. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually equal to 65%. O B. Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. O C. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. O D. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%. Identify the type Il error. Choose the correct answer below. O A. Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. O B. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when the percentage is actually equal to 65%. O C. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. D. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%.

Identify the type I error and the type Il error that correspond to the given hypothesis. The percentage of households with more than 1 pet is less than 65%. Identify the type I error. Choose the correct answer below. O A. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually equal to 65%. O B. Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. O C. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. O D. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%. Identify the type Il error. Choose the correct answer below. O A. Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. O B. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when the percentage is actually equal to 65%. O C. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. D. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%.

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** In this exercise, we examine the errors related to hypothesis testing concerning the percentage of households with more than one pet. **Given Hypothesis:** The percentage of households with more than 1 pet is less than 65%. **Identify the Type I Error. Choose the correct answer below.** - **Option A:** Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually equal to 65%. - **Option B:** Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. - **Option C:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. - **Option D:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%. **Identify the Type II Error. Choose the correct answer below.** - **Option A:** Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. - **Option B:** Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when the percentage is actually equal to 65%. - **Option C:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. - **Option D:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%. *Click to select your answer.* **Explanation of Terms:** - **Type I Error:** Occurs when the null hypothesis is rejected when it is actually true. - **Type II Error:** Occurs when the null hypothesis is not rejected when it is actually false.
Transcribed Image Text:**Understanding Type I and Type II Errors in Hypothesis Testing** In this exercise, we examine the errors related to hypothesis testing concerning the percentage of households with more than one pet. **Given Hypothesis:** The percentage of households with more than 1 pet is less than 65%. **Identify the Type I Error. Choose the correct answer below.** - **Option A:** Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually equal to 65%. - **Option B:** Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. - **Option C:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. - **Option D:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%. **Identify the Type II Error. Choose the correct answer below.** - **Option A:** Reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when that percentage is actually less than 65%. - **Option B:** Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when the percentage is actually equal to 65%. - **Option C:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is less than 65% when the percentage is actually equal to 65%. - **Option D:** Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65% when that percentage is actually less than 65%. *Click to select your answer.* **Explanation of Terms:** - **Type I Error:** Occurs when the null hypothesis is rejected when it is actually true. - **Type II Error:** Occurs when the null hypothesis is not rejected when it is actually false.
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