Question 8.73

8.73 The Internet of Things

The Internet of Things (IoT) refers to connecting computers, phones, and many other types of devices so that they can communicate and interact with each other.17 A Pew Internet study asked a panel of 1,606 experts whether they thought that the IoT would have “widespread and beneficial effects on the everyday lives of the public by 2025.” Eighty-three percent of the panel gave a positive response.18

  1. How many of the experts responded Yes to the question? Show your work.
  2. Describe the population proportion for this setting.
  3. What is the sample proportion? Show your work.
  4. What is the standard error for the sample proportion? Show your work.
  5. What is the margin of error for 95% confidence? Show your work.
  6. Give the 95% confidence interval for the population proportion.

8.73

(a) or 1333. (b) is the true proportion of all experts who would give a positive response to the question. (c) ; is given in the problem. (d) (e) . (f) (0.812, 0.848).