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Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 51% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 16 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.025 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. versus H,: Ho: (Type integers or decimals. Do not round.)

Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 51% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 16 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.025 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. versus H,: Ho: (Type integers or decimals. Do not round.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Educational Website Content: Evaluating a New Teaching Curriculum** **Introduction to the Study:** Two professors at a local college have developed an innovative teaching curriculum aimed at enhancing students' performance in math classes. Typically, in a developmental math course, 51% of students earn a letter grade of A, B, or C. An experimental course was conducted with 16 students, of whom 12 achieved these grades. To assess the effectiveness of the experimental course, statistical analysis is performed at a significance level of α = 0.025. **Hypothesis Testing:** *Part (a): State the Hypotheses* - **Null Hypothesis (H₀):** The experimental curriculum does not improve students' grades. (The proportion of students receiving a grade of A, B, or C is 51%.) - **Alternative Hypothesis (H₁):** The experimental curriculum improves students' grades. (The proportion of students receiving a grade of A, B, or C is greater than 51%.) *Instructions:* Type integers or decimals as needed. Do not round your values. **Explanation of the Methodology:** Using hypothesis testing, the goal is to determine whether the new curriculum leads to a statistically significant increase in students achieving higher grades compared to the standard rate of 51%. The researchers will use a significance level of 0.025 to ensure robust results. --- This content provides a clear framework for educators and students interested in understanding how to evaluate educational interventions using statistical methods.
Transcribed Image Text:**Educational Website Content: Evaluating a New Teaching Curriculum** **Introduction to the Study:** Two professors at a local college have developed an innovative teaching curriculum aimed at enhancing students' performance in math classes. Typically, in a developmental math course, 51% of students earn a letter grade of A, B, or C. An experimental course was conducted with 16 students, of whom 12 achieved these grades. To assess the effectiveness of the experimental course, statistical analysis is performed at a significance level of α = 0.025. **Hypothesis Testing:** *Part (a): State the Hypotheses* - **Null Hypothesis (H₀):** The experimental curriculum does not improve students' grades. (The proportion of students receiving a grade of A, B, or C is 51%.) - **Alternative Hypothesis (H₁):** The experimental curriculum improves students' grades. (The proportion of students receiving a grade of A, B, or C is greater than 51%.) *Instructions:* Type integers or decimals as needed. Do not round your values. **Explanation of the Methodology:** Using hypothesis testing, the goal is to determine whether the new curriculum leads to a statistically significant increase in students achieving higher grades compared to the standard rate of 51%. The researchers will use a significance level of 0.025 to ensure robust results. --- This content provides a clear framework for educators and students interested in understanding how to evaluate educational interventions using statistical methods.
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