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 /.3 (1-.3) / 540

Based on Zarina's work, what can be concluded?

With 90% confidence, between 4% and 30% of the attendees are vegetarian.

With 90% confidence, between 26% and 34% of the attendees are vegetarian.

With 95% confidence, between 4% and 30% of the attendees are vegetarian.

With 95% confidence, between 26% and 34% of the attendees are vegetarian.

Question

Mathematics

Leonardo Huber

1 October, 04:27

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 /.3 (1-.3) / 540

Based on Zarina's work, what can be concluded?

With 90% confidence, between 4% and 30% of the attendees are vegetarian.

With 90% confidence, between 26% and 34% of the attendees are vegetarian.

With 95% confidence, between 4% and 30% of the attendees are vegetarian.

With 95% confidence, between 26% and 34% of the attendees are vegetarian.

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Answers (1)

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Solomon Grimes · Answer 1

Based on Zarina’s work, it can be concluded that:

With 95% confidence, between 26% and 34% of the attendees are vegetarian.

She did a binomial experiment. The experiment consists of a number of repeated trials and each trial can result in just two possible outcomes. That can be either a success or a failure.