An Article Describes the Results of an Experiment

question 7

Multiple Choice

An article describes the results of an experiment. Students of WEB programming courses were randomly assigned to the two groups. One group was a control group of students who were trained by the teacher A. Of the 69 students in this group, 17 passed the final exam. Those in the second group were trained by the teacher B. Of the 131 students in the supplement group, 9 passed the final exam.
Based on the given data, what can you learn about the difference in the proportion of students who passed the exam after being trained by the teacher A and those who passed the exam after being trained by the teacher B? Calculate and interpret a 95% bootstrap confidence interval for the difference in proportions.

• A)The 95% confidence interval based on the bootstrap resampling is (0.068; 0.288).Based on the data from this experiment, you can be 95% confident that the actual difference in the proportions of students who passed the exam after being trained by the teacher A and those who passed the exam after being trained by the teacher B is between 0.068 and 0.288.Both endpoints of the interval are positive, and you can conclude that the proportion of students who passed the exam after being trained by the teacher A is greater than the proportion of students who passed the exam after being trained by the teacher B.
• B)The 95% confidence interval based on the bootstrap resampling is (-0.068; 0.288).Based on the data from this experiment, you can be 95% confident that the actual difference in the proportions of students who passed the exam after being trained by the teacher A and those who passed the exam after being trained by the teacher B is between -0.068 and 0.288.Zero is contained in this interval, indicating that it is plausible that there is no difference in the population proportions.
• C)The 95% confidence interval based on the bootstrap resampling is (-0.288; 0.068).Based on the data from this experiment, you can be 95% confident that the actual difference in the proportions of students who passed the exam after being trained by the teacher A and those who passed the exam after being trained by the teacher B is between -0.228 and 0.068.Zero is contained in this interval, indicating that it is plausible that there is no difference in the population proportions.
• D)The 95% confidence interval based on the bootstrap resampling is (-0.228; -0.068).Based on the data from this experiment, you can be 95% confident that the actual difference in the proportions of students who passed the exam after being trained by the teacher A and those who passed the exam after being trained by the teacher B is between -0.228 and -0.068.Both endpoints of the interval are negative, you can conclude that the proportion of students who passed the exam after being trained by the teacher A is greater than the proportion of students who passed the exam after being trained by the teacher B.
• E)The 95% confidence interval based on the bootstrap resampling is (-0.228; -0.068).Based on the data from this experiment, you can be 95% confident that the actual difference in the proportions of students who passed the exam after being trained by the teacher A and those who passed the exam after being trained by the teacher B is between -0.228 and -0.068.Both endpoints of the interval are negative, you can conclude that the proportion of students who passed the exam after being trained by the teacher B is greater than the proportion of students who passed the exam after being trained by the teacher A.

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Definitions:

Company Management

The group of individuals responsible for making major decisions, overseeing operations, and managing the resources and strategy of a company.

Capital Budgeting

The process by which a business evaluates and selects long-term investments based on their potential to generate future profit.

Long-Term Investments

Long-term investments are financial assets intended to be held for a period longer than one year, aiming for higher returns over time.

Net Working Capital

The difference between a company's current assets and current liabilities, indicating the liquidity and operational efficiency.