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:

Equilibrium Quantity

At the market equilibrium price, the amount of goods or services that are supplied matches the amount that is demanded.

Equilibrium Price

The market price at which the quantity demanded of a good equals the quantity supplied, leading to a state of balance in the market.

Government Subsidy

Financial assistance provided by the government to businesses, individuals, or other governmental units in support of an activity deemed beneficial to the public.

Supply

The total amount of a product or service that is available to consumers, determined by factors such as price, production costs, and market demand.