Question

In late 2009, the Pew Internet and American Life Project asked a random sample of U.S. adults, “Do you ever . . . use Twitter or another service to share updates about yourself or to see updates about others?” According to Pew, the resulting 95% confidence interval is (0.167, 0.213).15 Can we use this interval to conclude that the actual proportion of U.S. adults who would say they Twitter differs from 0.20? Justify your answer.

Short answer

No, we cant use this interval to conclude that the actual proportion of U.S. adults who would say they Twitter differs from$0.20$

Step-by-step solution

Introduction

A test statistic is a statistic utilized in statistical hypothesis testing. A hypothesis test is typically specified as far as a test statistic, considered as a numerical synopsis of an informational index that decreases the information to one worth that can be utilized to play out the hypothesis test.

Explanation

No, we cant use this interval to conclude that the actual proportion of U.S. adults who would say they Twitter differs from $0.20$as it does not lie within the boundaries of the confidence interval$(0.167,0.213)$.