4. (21 points) The report "Digital Democracy Survey" (Deloitte Development LLC, 2016, www2.deloitte.com/us/en.html, retrieved november 30, 2016) describes a large national survey. In a representative sample of Americans ages 14 to 18 years, 45% indicated that they usually use social media while watching TV. Suppose that the sample size was 500. a. Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05. b. Suppose that the sample size had been 100 rather than 500 and that 45% of those in the sample indicated that they usually use social media while watching TV. Based on this sample of 100, is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05. c. Explain why different conclusions were reached in the hypothesis tests of Parts (a) and (b).