Answered: 4.8 Twitter users and news, Part I: A…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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4.8 Twitter users and news, Part I:
A poll conducted in 2013 found that 52% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.4%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context.
(please round all percentages to 2 decimal places)

The 99% confidence interval is
( %, %)

Interpret the meaning of your confidence interval:

We are 99% confident that the true proportion of U.S. adult twitter users who get some news on Twitter is within our confidence interval
There is a 99% probability that the proportion of U.S. adult twitter users who get some news on Twitter is within our confidence interval
99% of confidence intervals will be contain the correct sample proportion of U.S. adult twitter users who get some news on Twitter

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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