1. In a recent study, the researchers want to find the information about the percentage of adults who get their news online. a. In a Harris poll of 3026 adults, 38% said that they prefer to get their news online. Construct a 95% confidence interval estimate of the percentage of all adults who say that they prefer to get their news online. Can we safely say that fewer than 50% of adults prefer to get their news online? b. If we want to conduct another survey, how many adults must we survey in order to be 90% confident that we are within four percentage points of the population percentage? Assume that we have no prior information about the population proportion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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1. In a recent study, the researchers want to find the information about the percentage of
adults who get their news online.
a. In a Harris poll of 3026 adults, 38% said that they prefer to get their news online.
Construct a 95% confidence interval estimate of the percentage of all adults who
say that they prefer to get their news online. Can we safely say that fewer than
50% of adults prefer to get their news online?
b. If we want to conduct another survey, how many adults must we survey in order
to be 90% confident that we are within four percentage points of the population
percentage? Assume that we have no prior information about the population
proportion.
Transcribed Image Text:1. In a recent study, the researchers want to find the information about the percentage of adults who get their news online. a. In a Harris poll of 3026 adults, 38% said that they prefer to get their news online. Construct a 95% confidence interval estimate of the percentage of all adults who say that they prefer to get their news online. Can we safely say that fewer than 50% of adults prefer to get their news online? b. If we want to conduct another survey, how many adults must we survey in order to be 90% confident that we are within four percentage points of the population percentage? Assume that we have no prior information about the population proportion.
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