Question

A TV news reporter says that a proposed constitutional amendment is likely to win approval in the upcoming election because a poll of 599 likely voters indicated that 52 ​% would vote in favor. The reporter goes on to say that the margin of error for this poll was 4 ​%. Complete parts a and b below. ​a) Explain why the poll is actually inconclusive. Choose the correct answer below. A. The poll is inconclusive because​ 50% is included in the confidence interval. B. The poll is inconclusive because the margin of error is too large. C. The poll is inconclusive because the sample size is too small. D. The poll is inconclusive because the standard error of the sample proportion is less than 0.50. ​b) What confidence level did the pollsters​ use? The pollsters used a ▼ 95 90 98 99 ​% confidence level.

Answer 1

(A) sample proportion 52% and margin of error is E = 4%

here possible range includes percentages below 50%, which means that the poll is not conclusive.

option A. The poll is inconclusive because​ 50% is included in the confidence interval.

(B) Margin of error is E = 4% = 4/100 = 0.04

From z table, we know that 1.96 z critical value is for 95% confidence level

So, pollsters used a 95 ​% confidence level.