4) Statistical formulas used to perform the hypothesis test (you may write the formulas by hand), tables, graphs and values. Show work on how you calculated your test statistic and the P-value.5) Requirement check for the test.Project Title:Comparative Analysis of Academic Performance: Online vs. In-Person LearningHypothesis in a Complete Sentence:The study aims to determine if there is a significant difference in the academic performance of students who attend classes online compared to those who attend classes in person.Null and Alternative Hypotheses in Symbolic Form:? Null Hypothesis (H.): Honline = Min-person? Alternative Hypothesis (H,): Monline # Min-personWhere Monline represents the mean academic performance of students in the online learning group, and Min-person represents the mean academic performance of students in the in-person learning group.Population:The population for this study includes all students enrolled in a particular course that offers both online and in-person learning options at a specified educational institution.

Sampling Method and Sample Size: 1. Sampling Method: Stratified Random Sampling o The students will be divided into two strata based on their mode of learning (online and in-person). o From each stratum, a random sample of students will be selected to ensure both groups are represented proportionally. 2. Sample Size: o A total of 200 students will be sampled, with 100 students from the online learning group and 100 students from the in-person learning group. o The sample size was determined to achieve a balance between statistical power and feasibility, ensuring enough data to detect a meaningful difference in academic performance while remaining manageable within the study's constraints. Data Collection Plan: 1. Academic Performance Measurement: o Academic performance will be measured using students' final grades in the course. o Additional performance indicators such as mid-term exam scores, assignment grades, and participation scores may also be collected for a comprehensive analysis. 2. Survey and Interviews: o Students will be surveyed to collect demographic data and information on their learning environment, study habits, and any challenges faced during the course. o Optional interviews may be conducted for qualitative insights into students' experiences and perceptions of online vs. in-person learning. 3. Data Analysis: o Descriptive statistics will be calculated to summarize the data. o Inferential statistics, including t-tests or ANOVA, will be used to compare the academic performance between the two groups. o Regression analysis may be employed to control for potential confounding variables such as prior academic achievement, socio-economic status, and access to learning resources. Ethical Considerations: Informed consent will be obtained from all participants. Confidentiality of students' data will be maintained. The study will seek approval from the institution's ethics review board. This proposal outlines a structured approach to examining the impact of learning environments on academic performance, aiming to provide evidence-based insights that could inform educational policies and practices