Question

a poll conducted a week before the school election to the student council showed that anjali would win with 58% of the vote. the margin of error was 7%.

choose the statement that correctly describes the confidence interval.

• anjali is predicted to receive as much as 65% of the vote or as little as 51%.
• anjali is predicted to win 58% or more of the vote.
• anjali is predicted to win between 58% to 65% of the vote.
• anjali is predicted to win 58% or less of the vote.

Explanation:

Identify the point estimate and margin of error

Using the Confidence Interval and Margin of Error knowledge points

$$
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$$

Calculate the confidence interval bounds

Using the Confidence Interval and Margin of Error knowledge points

$$
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$$

Match with the correct statement

Using the Confidence Interval knowledge point

$$ \text{Interval} = [51\%, 65\%] $$

Answer:

• (A) Anjali is predicted to receive as much as 65% of the vote or as little as 51%. (Correct answer)
• (B) Anjali is predicted to win 58% or more of the vote.
• (C) Anjali is predicted to win between 58% to 65% of the vote.
• (D) Anjali is predicted to win 58% or less of the vote.