Translate the statement into a confidence interval. Approximate the level of confidence. In a survey of 900 adults in a country, 80% think teaching is one of the most important jobs in the country today. The survey's margin of error is +3%. The confidence interval for the proportion is (OD (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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need help kinda stuck on these 2 problems

Why is it necessary to check that np 25 and nq 2 5?
O A. It is necessary to check that np 25 and nq 2 5 because the confidence intervals estimating the population proportions will overlap if these values are less
than 5.
O B. It is necessary to check that np 2 5 and nq 2 5 to be certain that the minimum value of the sample size, n, is met.
O C. It is necessary to check that np 25 and nq 2 5 because, if either of the values are less than 5, the tails on either side of the left and right endpoints are
not accounted for.
O D. It is necessary to check that np 2 5 and nq 2 5 because, if either of the values are less than 5, the distribution may not be normally distributed, thus ze
cannot be used to calculate the confidence interval.
Transcribed Image Text:Why is it necessary to check that np 25 and nq 2 5? O A. It is necessary to check that np 25 and nq 2 5 because the confidence intervals estimating the population proportions will overlap if these values are less than 5. O B. It is necessary to check that np 2 5 and nq 2 5 to be certain that the minimum value of the sample size, n, is met. O C. It is necessary to check that np 25 and nq 2 5 because, if either of the values are less than 5, the tails on either side of the left and right endpoints are not accounted for. O D. It is necessary to check that np 2 5 and nq 2 5 because, if either of the values are less than 5, the distribution may not be normally distributed, thus ze cannot be used to calculate the confidence interval.
Translate the statement into a confidence interval. Approximate the level of confidence.
In a survey of 900 adults in a country, 80% think teaching is one of the most important jobs in the country today. The survey's margin of error is +3%.
The confidence interval for the proportion is (| D
(Round to three decimal places as needed.)
Transcribed Image Text:Translate the statement into a confidence interval. Approximate the level of confidence. In a survey of 900 adults in a country, 80% think teaching is one of the most important jobs in the country today. The survey's margin of error is +3%. The confidence interval for the proportion is (| D (Round to three decimal places as needed.)
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