A business professor stated that 74% of adult Internet users are confident making purchases online. As part of a class project, the students in the class were required to survey adults in the community. The file titled Online contains “Yes” and “No” responses to the survey conducted by the students.

a. Calculate the sample proportion of adults who are confident.

b. If the professor’s value for the proportion of confident adults is correct, determine the sampling error for the sample in the file.

c. Determine the probability that a sample proportion would be at most as far away as the Online sample if the 74% value was correct.

d. The students indicated that their sample had a margin of error of {2,. The sample size used by the students’ poll was 2,022. Calculate the probability that the sample proportion from a sample size of 2,022 would be at most as far away from the population proportion as suggested by the margin of error.