Zarina wants to determine a confidence interval based on a random poll she conducted about the percent of attendees at a conference who are vegetarian. She determined the margin of error for her poll results using the equation below.E = 1.96

The most recent poll of 50 randomly-selected members of a school club with a total of 80 members showed that 38 are planning to vote for Talia as president of the club. Talia correctly determined that the margin of error, E, of the poll using a 95% confidence interval (z*-score 1.96) is approximately 12%.
The latest poll of 400 randomly selected residents showed that 288 of them are hoping that the old town cinema stays open on Main Street.
Yolanda conducted a poll and out of the 270 people she surveyed, 60% were planning to live in their town for the rest of their lives. She decided to conduct another poll asking the same question, and again found that 60% of the people in the second poll were planning to live in their town for the rest of their lives.
A recent poll of 85 randomly selected cable subscribers found that 39% would be willing to pay extra for a new nature channel.
With a desired confidence of 90%, which has a z*-score of 1.645, which statements are true? Check all that apply.E = z*

The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to pay more for a yearbook if their names were printed on the front. Of the students who were surveyed, 26 of them said they would be willing to pay extra.
With a desired confidence of 99%, which has a z*-score of 2.58, which statements are true? Check all that apply.E = z*

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