Explanation for Question 27 From the Math (Calc) Section on the 2019 October Sat
So now we're looking at question number 27, 2 which says that the results of two random samples of votes for a proposition 3 are shown above the samples were selected from the same population. 4 And the margins of error were calculated using the same method. 5 So they had, they have the same margin of error, 6 right? They have the same, um, amount that they could possibly have made a 7 mistake with. And then it asks us, 8 which of the following is the most appropriate reason that margin of error for 9 sample a is greater than the margin of error for sample B. 10 Right. And we can think about what margin of error means. 11 If something has a large margin of error, then it's more likely to have 12 made an error and it would be a worse survey, 13 right? Because you don't want your survey to be making an error. 14 So we can think that a is probably a worse survey than B. 15 So we really want to show, um, with our answer, 16 why a is not as good as, as a, 17 of a survey, um, for any number of reasons, 18 there's a couple of reasons that it could be a worst survey, 19 but let's see what they say. So it says a has a smaller number 20 of votes that could not be recorded. Now, 21 staple a, had a smaller number of votes that could not be recorded. 22 That doesn't necessarily make a, 23 a worse, uh, sample, if anything, 24 that probably makes it better, right? Because if you have a smaller number of 25 votes that you can't actually record, then that means that you're getting more data. ...