a. What is the best estimate for the standard error of the sampling distribution?b. What is the margin of error for this confidence interval?c. What is the lower bound of the confidence interval? In a January 2020 survey by Pew Research, a random sample of 1504 adults were asked what theythought should be the top priority for the President and Congress. 963 respondents said climatechange should be the top priority. Calculate a 95% confidence interval for the proportion of adultswho feel that climate change should be the top priority of the U.S. government, and answer thefollowing questions based on those calculations.a. What is the best estimate for the standard error of the sampling distribution?b. What is the margin of error for this confidence interval?c. What is the lower bound of the confidence interval?

Given,n=1504x=963p^=xnp^=9631504=0.64031-p^=1-0.6403=0.3597α=1-0.95=0.05α2=0.025Z0.025=1.960 (from…

Answered: a. What is the best estimate for the…

a. What is the best estimate for the standard error of the sampling distribution? b. What is the margin of error for this confidence interval? c. What is the lower bound of the confidence interval?

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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Question

a. What is the best estimate for the standard error of the sampling distribution? b. What is the margin of error for this confidence interval? c. What is the lower bound of the confidence interval?

In a January 2020 survey by Pew Research, a random sample of 1504 adults were asked what they
thought should be the top priority for the President and Congress. 963 respondents said climate
change should be the top priority. Calculate a 95% confidence interval for the proportion of adults
who feel that climate change should be the top priority of the U.S. government, and answer the
following questions based on those calculations.
a. What is the best estimate for the standard error of the sampling distribution?
b. What is the margin of error for this confidence interval?
c. What is the lower bound of the confidence interval?

Expert Solution

Step 1

$G i v e n, n = 1504 x = 963 \hat{p} = \frac{x}{n} \hat{p} = \frac{963}{1504} = 0.6403 1 - \hat{p} = 1 - 0.6403 = 0.3597 α = 1 - 0.95 = 0.05 \frac{α}{2} = 0.025 Z_{0.025} = 1.960 (f r o m Z - t a b l e)$

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