ShmoopTube

00:04

And here's your shmoop du jour brought to you by Halloween the

00:07

day designated for handing out miniature candy bars unidentifiable chewy things [Girl handing out treats to children trick or treating]

00:12

and home baked stuffed with burn marks on the bottom..an apples..Alright 31

00:19

out of 75 high school students planned on trick-or-treating based on the

00:23

numbers given which of the following statements is true if we calculate a

00:26

confidence interval with a confidence level of ninety percent all right here are

00:30

the potential answers....Okay well ever wonder why no one ever dresses up as a [People dressed up together in a park]

00:38

statistician on Halloween? Well probably because they would spend most

00:42

of their time calculating the true proportion of edible versus inedible [Statisticians performing calculations]

00:46

nevermind, okay on to the problem we go let's do the math based on 31 who are

00:51

going trick-or-treating out of our sample of 75 we also need to consider [children running out of a classroom to trick or treat]

00:55

the 44 out of the 75 who have decided to take no part in the tp'ing and/or egging

01:00

of houses using the numbers we have to calculate our formula the ninety percent [formula of the confidence interval]

01:05

confidence level indicates a plus minus nine point three six percent while the

01:11

true population proportion of trick-or-treaters is between 31.97

01:16

percent and 50.69 percent the only one of the possible answers

01:21

that matches that description is answer C, right there. If you answered correctly

01:25

you can expect a two-foot-long gummy worm in your Halloween goody bag this [Little girl in a halloween costume holding a goody bag]

01:29

year, just make sure it's actually a gummy if it tries to crawl back out of your mouth

01:33

well you may want to avoid that house in future years[children screaming out trick or treating]

Full Transcript