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The graph below shows a 95% confidence interval for a population proportion that has been estimated as 0.5. Move the slider below the graph to change the number of observations in the sample and observe how it affects the equation for the interval and the corresponding interval width. P(1-p) p± za/2V n 0.5 +1.96y 0.5(1–0.5) 1276 95% Cl: 0.5 + 0.0274 = [0.4726, 0.5274] -0.0274 +0.0274 0.45 0.4726 0.50 0.5274 0.55

The graph below shows a 95% confidence interval for a population proportion that has been estimated as 0.5. Move the slider below the graph to change the number of observations in the sample and observe how it affects the equation for the interval and the corresponding interval width. P(1-p) p± za/2V n 0.5 +1.96y 0.5(1–0.5) 1276 95% Cl: 0.5 + 0.0274 = [0.4726, 0.5274] -0.0274 +0.0274 0.45 0.4726 0.50 0.5274 0.55

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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2. Using this equation, if the confidence level was changed to 99% instead of 95%, the confidence interval for n = 1,272 would be [0.4673, 0.5327]. Which of the following sample sizes would produce this same interval at 95% confidence? Note: If you cannot obtain a number that exactly matches a choice below, choose the answer that is closest. a. 1164 b. 900 С. 2048 d. 676 -Select-
Transcribed Image Text:2. Using this equation, if the confidence level was changed to 99% instead of 95%, the confidence interval for n = 1,272 would be [0.4673, 0.5327]. Which of the following sample sizes would produce this same interval at 95% confidence? Note: If you cannot obtain a number that exactly matches a choice below, choose the answer that is closest. a. 1164 b. 900 С. 2048 d. 676 -Select-
The graph below shows a 95% confidence interval for a population proportion that has been estimated as 0.5. Move the slider below the graph to change the number of observations in the sample and observe how it affects the equation for the interval and the corresponding interval width. P(1-p) pt Za/2V 0.5 + 1.961 0.5(1-0.5) 1276 95% Cl: 0.5 ± 0.0274 = [0.4726, 0.5274] -0.0274 +0.0274 0.45 0.4726 0.50 0.5274 0.55 n = 1276 1,000 2,000 1. In the equation for a confidence interval, the sample size is located in the denominator underneath the radical sign. What happens to the value of the expression under the radical sign as the sample size increases? a. The value of everything under the radical sign remains the same. b. The value of everything under the radical sign increases. c. The value of everything under the radical sign decreases. -Select- v
Transcribed Image Text:The graph below shows a 95% confidence interval for a population proportion that has been estimated as 0.5. Move the slider below the graph to change the number of observations in the sample and observe how it affects the equation for the interval and the corresponding interval width. P(1-p) pt Za/2V 0.5 + 1.961 0.5(1-0.5) 1276 95% Cl: 0.5 ± 0.0274 = [0.4726, 0.5274] -0.0274 +0.0274 0.45 0.4726 0.50 0.5274 0.55 n = 1276 1,000 2,000 1. In the equation for a confidence interval, the sample size is located in the denominator underneath the radical sign. What happens to the value of the expression under the radical sign as the sample size increases? a. The value of everything under the radical sign remains the same. b. The value of everything under the radical sign increases. c. The value of everything under the radical sign decreases. -Select- v
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