6. (6 points) "Persuasive technology" is a relatively new field of research that studies how computers can be used to control human thoughts and actions. The field has fueled the creation of thousands of apps, interfaces and devices that deliberately encourage certain human behaviors (keep scrolling) while discourage others (convey thoughtful) (Time, April 23, 2018, page 33). To study how machines control humans, a survey from a sample of 130 people indicated that 115 of them check their phones within an hour of waking up. a. Construct a 95% confidence interval for the population proportion of people check their phones within an hour of waking up. b. Construct a 90% confidence interval for the population proportion of people check their phones within an hour of waking up. c. Test if the population proportion is more than 80%. Use the critical value approach at a = 0.05. d. Refer to the test in part c. Conduct the test with the p-value approach