A random sample of 500 adult residents of Maricopa County found that 379 were in favor of increasing the highway speed limit to 75mph, while another sample of 400 adult residents of Pima County found that 271 were in favor of the increased speed limit. Constructa 95% confidence interval on the difference in the two proportions. Round your answer to four decimal places (e.g. 98.7654).i≤ P1-P₂ ≤ i

From the provided information,Confidence level = 95%

Answered: A random sample of 500 adult residents…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a survey of 2345 adults, 729 say they believe in UFOs. Construct a 90 % confidence interval for the population proportion of adults who believe in UFOs. A 90%confidence interval for the population proportion is (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. A. With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. B. With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval. C. The endpoints of the given confidence interval shows that 90% of adults believe in UFOs. D. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
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6.5 Gender equality. The General Social Survey asked a random sample of 1,390 Americans the following question: “On the whole, do you think it should or should not be the government’s responsibility to promote equality between men and women?” 82% of the respondents said it “should be”. At a 95% confidence level, this sample has 2% margin of error. Based on this information, determine if the following statements are true or false, and explain your reasoning.8 (a) We are 95% confident that between 80% and 84% of Americans in this sample think it’s the government’s responsibility to promote equality between men and women. (b) We are 95% confident that between 80% and 84% of all Americans think it’s the government’s respon- sibility to promote equality between men and women. (c) If we considered many random samples of 1,390 Americans, and we calculated 95% confidence intervals for each, 95% of these intervals would include the true population proportion of Americans who think…
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Answer question 12 and show all the steps.
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