The article referenced in the previous exercise also indicated that 811 of the 1001 students surveyed said that they would feel restricted if they could only work on digital devices. Would a 95% confidence interval for the proportion of students age 13 to 19 who would say that they would feel restricted if they could only use digital devices be narrower or wider than the interval constructed in the previous exercise for the proportion who would say that they learn best using a mix of digital and non digital tools? Explain your reasoning—you should be able to answer this question without computing the second confidence interval.

Previous exercise

The article “Write It by Hand to Make It Stick” (Advertising Age, July 27, 2016) summarizes data from a survey of 1001 students age 13 to 19. Of the students surveyed, 851 reported that they learn best using a mix of digital and nondigital tools. Construct and interpret a 95% confidence interval for the proportion of students age 13 to 19 who would say that they learn best using a mix of digital and non-digital tools. For the method used to construct the interval to be valid, what assumption about the sample must be reasonable?