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in 1996, 52% of high school teachers felt it was a serious problem that high school students were not being attentive enough in the clas high school teachers felt it was a serious problem that high school students were not being attentive enough in the classroom. Do high s did in 1996? (a) What does it mean to make a Type II error for this test? b) If the researcher decides to test this hypothesis at the x = 0.10 level of significance, compute the probability of making a Type II erro What is the power of the test? (c) Redo part (b) if the true population proportion is 0.48. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is OB. Ho is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is OC. Ho is rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is not

in 1996, 52% of high school teachers felt it was a serious problem that high school students were not being attentive enough in the clas high school teachers felt it was a serious problem that high school students were not being attentive enough in the classroom. Do high s did in 1996? (a) What does it mean to make a Type II error for this test? b) If the researcher decides to test this hypothesis at the x = 0.10 level of significance, compute the probability of making a Type II erro What is the power of the test? (c) Redo part (b) if the true population proportion is 0.48. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is OB. Ho is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is OC. Ho is rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is not

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 Hypothesis Testing: An Examination of High School Teachers' Perceptions** In 1996, 52% of high school teachers felt it was a serious problem that high school students were not being attentive enough in the classroom. A recent survey found that 300 out of 600 high school teachers felt it was a serious problem that high school students were not being attentive enough in the classroom. Do high school teachers feel differently today than they did in 1996? ### Questions to Consider: (a) **What does it mean to make a Type II error for this test?** (b) **If the researcher decides to test this hypothesis at the α = 0.10 level of significance, compute the probability of making a Type II error (β), if the true population proportion is 0.50. What is the power of the test?** (c) **Redo part (b) if the true population proportion is 0.48.** --- ### Analysis: #### (a) What does it mean to make a Type II error for this test? Choose the correct answer below: - **A.** \( H_0 \) is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is not equal to 0.52. - **B.** \( H_0 \) is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is equal to 0.52. - **C.** \( H_0 \) is rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is not equal to 0.52. #### (b) If the researcher decides to test this hypothesis at the α = 0.10 level of significance, compute the probability of making a Type II error, β, if the true population proportion is 0.50. What is the power of the test? **β =** [Input your value here] **Power =** [Input your value here] \ (Type integers or decimals rounded to four decimal places as needed.) #### (c) Redo part (b) if the true population proportion is 0.48. **β =** [Input your value here] **Power =** [Input your value here] \ (Type integers or decimals rounded to four decimal places as needed.) --- By understanding Type I and Type II errors, along with the concepts of significance
Transcribed Image Text:**Understanding Hypothesis Testing: An Examination of High School Teachers' Perceptions** In 1996, 52% of high school teachers felt it was a serious problem that high school students were not being attentive enough in the classroom. A recent survey found that 300 out of 600 high school teachers felt it was a serious problem that high school students were not being attentive enough in the classroom. Do high school teachers feel differently today than they did in 1996? ### Questions to Consider: (a) **What does it mean to make a Type II error for this test?** (b) **If the researcher decides to test this hypothesis at the α = 0.10 level of significance, compute the probability of making a Type II error (β), if the true population proportion is 0.50. What is the power of the test?** (c) **Redo part (b) if the true population proportion is 0.48.** --- ### Analysis: #### (a) What does it mean to make a Type II error for this test? Choose the correct answer below: - **A.** \( H_0 \) is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is not equal to 0.52. - **B.** \( H_0 \) is not rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is equal to 0.52. - **C.** \( H_0 \) is rejected and the true proportion of high school teachers who believe that students are not attentive in the classroom is not equal to 0.52. #### (b) If the researcher decides to test this hypothesis at the α = 0.10 level of significance, compute the probability of making a Type II error, β, if the true population proportion is 0.50. What is the power of the test? **β =** [Input your value here] **Power =** [Input your value here] \ (Type integers or decimals rounded to four decimal places as needed.) #### (c) Redo part (b) if the true population proportion is 0.48. **β =** [Input your value here] **Power =** [Input your value here] \ (Type integers or decimals rounded to four decimal places as needed.) --- By understanding Type I and Type II errors, along with the concepts of significance
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