WEBVTT 00:00:00.220 --> 00:00:02.050 - [Instructor] We're told that administrators at a school 00:00:02.050 --> 00:00:04.190 are considering a policy change. 00:00:04.190 --> 00:00:06.850 They survey a group of students, staff members, 00:00:06.850 --> 00:00:09.630 and parents about whether or not they agree 00:00:09.630 --> 00:00:11.180 with the new policy. 00:00:11.180 --> 00:00:15.300 The following mosaic plot summarizes their results. 00:00:15.300 --> 00:00:17.780 Which of the following statements can we justify 00:00:17.780 --> 00:00:19.810 from the mosaic plot? 00:00:19.810 --> 00:00:22.720 So pause this video and try to figure this out on your own. 00:00:22.720 --> 00:00:25.030 Pick which of these statements can be justified 00:00:25.030 --> 00:00:28.963 and there could be more than one based on this mosaic plot. 00:00:30.310 --> 00:00:32.500 All right, now let's work through this together. 00:00:32.500 --> 00:00:33.880 So before I even look at the choices, 00:00:33.880 --> 00:00:35.890 let me see if I can interpret this. 00:00:35.890 --> 00:00:36.930 So this mosaic plot, 00:00:36.930 --> 00:00:39.780 what it does above and beyond a segmented bar chart, 00:00:39.780 --> 00:00:43.040 is it gives us the width that shows us how many, 00:00:43.040 --> 00:00:45.750 for example, students versus staff versus parents 00:00:45.750 --> 00:00:47.630 were sampled or surveyed. 00:00:47.630 --> 00:00:50.520 And it looks like more than half 00:00:50.520 --> 00:00:52.620 of the people surveyed were students. 00:00:52.620 --> 00:00:55.160 And then staff and parents seem similar. 00:00:55.160 --> 00:00:58.020 In terms of who is agreeing with the policy, 00:00:58.020 --> 00:00:59.600 so that's that light blue color. 00:00:59.600 --> 00:01:02.950 It seems like students are not very likely to agree 00:01:02.950 --> 00:01:03.783 with the policy. 00:01:03.783 --> 00:01:07.060 It looks like staff is very likely to agree with the policy, 00:01:07.060 --> 00:01:09.250 that the bulk of staff is agreeing with it. 00:01:09.250 --> 00:01:12.330 And parents are kind of on both sides. 00:01:12.330 --> 00:01:14.980 So let's see which of these statements are consistent 00:01:14.980 --> 00:01:16.530 with what we just looked at. 00:01:16.530 --> 00:01:19.840 Parents were the least likely to agree with the new policy. 00:01:19.840 --> 00:01:21.460 No, that's not true. 00:01:21.460 --> 00:01:24.600 The least likely to agree with the new policy 00:01:24.600 --> 00:01:27.150 that's students, right over here. 00:01:27.150 --> 00:01:28.730 They were definitely the least likely. 00:01:28.730 --> 00:01:30.750 The lowest percentage of students 00:01:30.750 --> 00:01:32.010 are agreeing with the policy. 00:01:32.010 --> 00:01:35.260 So I don't like that choice. 00:01:35.260 --> 00:01:38.600 More than half of the total responses came from students. 00:01:38.600 --> 00:01:40.330 And that does look like the case. 00:01:40.330 --> 00:01:43.700 'Cause if you view this entire width as the total responses, 00:01:43.700 --> 00:01:46.190 it looks like the student width right over here, 00:01:46.190 --> 00:01:47.870 that is more than half of it. 00:01:47.870 --> 00:01:50.070 It looks like it's about 50 something percent 00:01:50.070 --> 00:01:51.370 or even 60 percent. 00:01:51.370 --> 00:01:55.270 So I like this choice right over here. 00:01:55.270 --> 00:01:57.070 And then last but not least, 00:01:57.070 --> 00:02:01.880 there were more total "No" responses from students 00:02:01.880 --> 00:02:04.370 than from staff and parents combined. 00:02:04.370 --> 00:02:07.360 So let's look at the no responses from students. 00:02:07.360 --> 00:02:09.300 No, that's that darker blue color. 00:02:09.300 --> 00:02:14.300 The no responses for students is this area right over here. 00:02:15.780 --> 00:02:19.400 And then the nos, so I can, maybe I'll shade all of that in, 00:02:19.400 --> 00:02:22.490 and then the no responses from staff 00:02:22.490 --> 00:02:27.490 and parents combined, that is this area right over here. 00:02:28.590 --> 00:02:32.900 And it does look like indeed the total no responses 00:02:32.900 --> 00:02:35.400 from students, this area is much larger 00:02:35.400 --> 00:02:37.040 than this area right over here. 00:02:37.040 --> 00:02:39.373 So I like this choice as well.