Technology can be a wonderful resource in education, but when technology such as laptops or phones are used by students during class for reasons not related to class (called off-task use), its use can hurt learning and be distracting. In a study conducted at a Canadian university, students were asked if they were often distracted during class by the off-task use of technology. We are estimating the proportion of students to answer yes to this question, and a bootstrap distribution created from the sample results is shown in Figure 3.21. Using this bootstrap distribution:

(a) What is the best estimate of the proportion of all students who would answer yes to this question? 

(b) Estimate the standard error for the estimate.

(c) Use the results of parts (a) and (b) to find and interpret a 95% confidence interval for the proportion of students who feel they are often distracted during class by the off-task use of technology. (Although students in the study recognize that this has a negative impact on learning, most say they continue to use laptops and phones for off-task purposes regardless.)

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200 175 150 125 100 75 50 25 0 0.40 0.42 0.44 0.46 0.48 Figure 3.21 What proportion are distracted by laptops and phones? 0.49 0.50 0.52 0.54 0.56 0.58