# AP Statistics 2.4 Statistical Inference

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AP Statistics 2.4 Statistical Inference. Calculate the margin of error.

AP Statistics | Statistical Inference |

Anticipating Patterns | Sampling Distributions The Normal Distribution |

Language | English Language |

Sampling And Experimentation | Planning and Conducting Experiments |

### Transcript

three hundred two of them gather pollen all day Kind

of makes you wonder what the other forty eight bees

are doing with their time there Okay so calculate the

margin of error That would help you determine the ninety

five percent confidence interval for the proportion of bees that

collect pollen all day long And here the potential answers

All right right there those guys Well let's swap answer

e out of here because we totally have enough information

to determine the confidence interval i want an answer be

if you've been paying attention in class by now you've

memorized your z table for the usual confidence intervals If

so then one point nine six should look awfully familiar

Well ninety five percent of the area under a normal

curve lies roughly within one point Nine six standard deviations

of the mean that's the number used in formulating a

ninety five percent confidence interval z values like one point

nine six or nice tohave and fun to work with

but they aren't the margin of error So b is

an incorrect answer Interesting is highly suspect as well if

you really think about it Point eight six to nine

is actually the percentage of bees in our high but

gather pollen all day Three o two out of three

fifty or busy as bees by the same token point

one three seven One is the percentage of these who

you know chill If the queen finds out it'll really

put her stinger in and not buzz off answer See

you are a percentage and not the margin of error

What we're left with using all the other numbers we

talked about is this equation point zero three six One

is the margin of error we're searching for So you

got stung if you answered a and you're looking sweet

as honey if you chose d remember next time you

come across a hive you khun b ninety five percent

certain There are a few bees inside that goofing off