Based on the following hypothesis,I must develop a proposal to test the hypothesis at a local high school

H₀1: There will be no significant differences in high school teacher efficacy among mathematics, science, and English teachers.

I canwrite the proposal, but need the following questions answered to get me started.The instrument to be used was provided-Ohio State Teacher Efficacy Scale(OSTES). This 18-item instrument, which employs a nine-point Likert scale measures three factors: Efficacy in Student Engagement, Efficacy in Instructional Practices, and Efficacy in Classroom Management. Score reliabilities are .82, .81, and .72.

I need help with the following 3 areas:

Participants and Setting: The sample size, the type of sample, and the sampling procedures (e.g., convenience sampling, cluster sampling, etc.) This part is fictional.

Research Design: The research design needs to be specific. It is not sufficient to state that a quasi-experimental study will be conducted; instead, it is better to state that a pretest-posttest non-equivalent control group design will be conducted. List identify the independent and dependent variables and any covariates. In addition, give a rationale for why the design is most appropriate for the study.? Why is it the most appropriate choice for the present study?

Analysis: the type of each statistical analysis technique(s) must be identified (t-test, ANOVA, ANCOVA, etc.). A concise rationale for the type of statistical analysis must also be provided. For each identified statistical analysis technique ALL assumption tests and how they will be tested must be addressed. The alpha level for each statistical analysis technique must also be stated. Lastly, the effect size and the convention used to report it should be explained. Example: Eta square interpreted based on Cohen's d.