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Thank you We sneak In here's your smoke too sure

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brought to you by beehives marge simpson is really wishing

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she would have gone with a different hairstyle way took

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a random sample of bees from a local hive and

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found out that of the three hundred fifty bees polled

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three hundred two of them gather pollen all day Kind

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of makes you wonder what the other forty eight bees

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are doing with their time there Okay so calculate the

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margin of error That would help you determine the ninety

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five percent confidence interval for the proportion of bees that

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collect pollen all day long And here the potential answers

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

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e out of here because we totally have enough information

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to determine the confidence interval i want an answer be

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

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memorized your z table for the usual confidence intervals If

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so then one point nine six should look awfully familiar

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Well ninety five percent of the area under a normal

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curve lies roughly within one point Nine six standard deviations

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

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ninety five percent confidence interval z values like one point

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nine six or nice tohave and fun to work with

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

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an incorrect answer Interesting is highly suspect as well if

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you really think about it Point eight six to nine

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is actually the percentage of bees in our high but

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gather pollen all day Three o two out of three

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fifty or busy as bees by the same token point

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one three seven One is the percentage of these who

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

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put her stinger in and not buzz off answer See

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you are a percentage and not the margin of error

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

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talked about is this equation point zero three six One

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

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

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as honey if you chose d remember next time you

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come across a hive you khun b ninety five percent

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certain There are a few bees inside that goofing off

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