Question

Do you Tweet? 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 (0.123, 0.177).11 Based on the confidence interval, is there convincing evidence that the true proportion of U.S. adults who would say they use Twitter or another service to share updates differs from 0.17? Explain your reasoning.

Short answer

The required answer is:

No, it is not different from$0.17$

Step-by-step solution

Given information

The confidence interval is$(0.123,0.177)$

The objective is to find whether the true proportion of adults who says that they use Twitter or other series is different from 0.17or not.

The above-mentioned confidence interval clearly shows that $0.17$fall within it. As a result, there is insufficient evidence to conclude that the true proportion of adults who use Twitter or other series is greater than $0.17$