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1. Because of the constantly evolving political climate around the United States, Gallup (uwho regularly conducts polls in the U.S.) conducted a poll just after the inauguration asking U.S. adults if they approve of the initiatives President Biden had implemented in his first few days in office. Another Gallup poll was conducted now that President Biden has been in office for a month asking U.S. adults if they approve of the initiatives President Biden had implemented after his first month in office. According to the first Gallup poll of 1500 randomly selected U.S. adults, 64% approved of the initiatives President Biden had implemented in his first few days in office. And according to the second Gallop poll of 1700 U.S. adults, 54% approved of the initiatives President Biden had implemented after his first month in office. A. Construct and interpret a 95% confidence interval for the change (difference) in the true proportion of U.S. adults who approved of the initiatives President Biden had implemented in his first few days in office to after his first month in office. B. Based on your interval, what conclusion would you make about whether President Biden's approval rating has changed. Justify your answer.

1. Because of the constantly evolving political climate around the United States, Gallup (uwho regularly conducts polls in the U.S.) conducted a poll just after the inauguration asking U.S. adults if they approve of the initiatives President Biden had implemented in his first few days in office. Another Gallup poll was conducted now that President Biden has been in office for a month asking U.S. adults if they approve of the initiatives President Biden had implemented after his first month in office. According to the first Gallup poll of 1500 randomly selected U.S. adults, 64% approved of the initiatives President Biden had implemented in his first few days in office. And according to the second Gallop poll of 1700 U.S. adults, 54% approved of the initiatives President Biden had implemented after his first month in office. A. Construct and interpret a 95% confidence interval for the change (difference) in the true proportion of U.S. adults who approved of the initiatives President Biden had implemented in his first few days in office to after his first month in office. B. Based on your interval, what conclusion would you make about whether President Biden's approval rating has changed. Justify your answer.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Because of the constantly evolving political climate around the United States, Gallup (who regularly conducts polls in the U.S.) conducted a poll just after the inauguration asking U.S. adults if they approve of the initiatives President Biden had implemented in his first few days in office. Another Gallup poll was conducted now that President Biden has been in office for a month asking U.S. adults if they approve of the initiatives President Biden had implemented after his first month in office. According to the first Gallup poll of 1500 randomly selected U.S. adults, 64% approved of the initiatives President Biden had implemented in his first few days in office. And according to the second Gallop poll of 1700 U.S. adults, 54% approved of the initiatives President Biden had implemented after his first month in office. A. Construct and interpret a 95% confidence interval for the change (difference) in the true proportion of U.S. adults who approved of the initiatives President Biden had implemented in his first few days in office to after his first month in office. B. Based on your interval, what conclusion would you make about whether President Biden's approval rating has changed. Justify your answer. 5.700
Transcribed Image Text:1. Because of the constantly evolving political climate around the United States, Gallup (who regularly conducts polls in the U.S.) conducted a poll just after the inauguration asking U.S. adults if they approve of the initiatives President Biden had implemented in his first few days in office. Another Gallup poll was conducted now that President Biden has been in office for a month asking U.S. adults if they approve of the initiatives President Biden had implemented after his first month in office. According to the first Gallup poll of 1500 randomly selected U.S. adults, 64% approved of the initiatives President Biden had implemented in his first few days in office. And according to the second Gallop poll of 1700 U.S. adults, 54% approved of the initiatives President Biden had implemented after his first month in office. A. Construct and interpret a 95% confidence interval for the change (difference) in the true proportion of U.S. adults who approved of the initiatives President Biden had implemented in his first few days in office to after his first month in office. B. Based on your interval, what conclusion would you make about whether President Biden's approval rating has changed. Justify your answer. 5.700
Expert Solution
Step 1

Given;

n1 = 1500

P1 = 0.64

n2 = 1700

P2 = 0.54

Formula Used:

Confidence Interval for the difference between two proportions

CI = (P1 - P2) ± Zα/2P1(1-P1)n1+P2(1-P2)n2

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