While adapting to remote learning, everyone encountered a new set of challenges. For instructors at Cornell University, one of these challenges included students not turning on their cameras during synchronous class meetings held via videoconferencing. An instructor asked a random sample of 441 undergraduate students at Cornell University if they typically turn on their cameras during synchronous class meetings held via videoconferencing.

1a.)Based on the 441 responses, 234 stated that they typically turn on their cameras during synchronous class meetings. Use this information to construct a 95% confidence interval to estimate the estimate the population proportion of all undergraduate students at Cornell University who turn on their cameras during synchronous class meetings by carefully completing the following steps: 1) Check the necessary assumptions. 2) Compute the 95% confidence interval to estimate p.

1b.) Now that you have constructed a 95% confidence interval to estimate the population proportion of all undergraduate students at Cornell University who turn on their cameras during synchronous class meetings, think about the interpretation of a confidence interval and the interpretation of a confidence level. What is the difference between these two concepts, an interpretation of the confidence interval versus an interpretation of the confidence level? Please note that we are looking for your own point of view as to what is different between these two concepts and not theactual interpretations.

1c.)Victor, a student at UM, conducted a similar survey among undergraduate students at the University of Michigan using a random sample of the samesize from the study conducted at Cornell University and obtained the same sample proportion.

The undergraduate student body at the University of Michigan is almost twice as large as the undergraduate student body at Cornell University.

Victor is concerned that the computation of the margin of error for a confidence interval for the population proportion will be affected by the population size. Do you agree with Victor's concern?

Yes, because he needs to have a similar portion of the population in his sample.

Yes, because the confidence interval assumptions require a large population.

No, because the margin of error is not affected by the population size.

No, because the sample will be representative of the population.