Confidence intervals and margin of error | AP Statistics | Khan Academy

Confidence intervals and margin of error.

AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics.

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[zacklanger]

Watch some guy on the internet teach this better in 11 minutes than my stats teacher did all unit. A true hero

[Japaneseyap]

watching a khan academy video for something you dont get crying before the assessment is due is another kind of pain

[faithloosli]

I've been watching Khan Academy since I was high school back in 2012. I'm now in my master's program in 2024 at Columbia for epidemiology and Khan Academy is still out here saving my life during finals week. Thank you so much for being the best educational resource over the years.

[ryanpark]

The handwriting in this video is phenomenal

[ryangrant]

Watching this just helped me pass a quiz that required a pass in order to not fail the entire unit. Thanks heaps, you're a legend!

[mercnem]

I can't begin to tell you how much I appreciate the effort and simplicity you put into this video. Thank you for all the hard work!!!! I'm currently passing my class with an A and it's all because of this channel.

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I love how I needed this during election season, thank you YouTube algorithm

[Rway]

I'm in a T30 MBA program and referencing khan academy videos because the material in these videos is easier to digest (better taught). So please, keep up the good work! And donate to this awesome organization!

[AidanXD]

Wow ive been doing stats for a month and you put this better than anyone I have watched.

[cacsoccer]

Thank you so much! This last week of stats kicked my butt and I thought this was going to do the same. You really simplified this in a manner that was easy to understand.

[ghialumia]

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[Maracujakeks]

I bet 50% of this channel's success is due to this beautifully balanced handwriting

[mattvandeberghe]

Phenomenal video. I appreciate so much your detail and logic. I haven't taken Statistics in over 20 years and was struggling with this principle in my refresher. Your explanation really made this concept simple. I look forward to learning more

[woodant]

The margin of Error is 2* SE which then is 2*0.05 = 0.1 so 0.54 + 0.1, 0.54 - 0.1 = 0.44 to 0.64


The margin of Error = (ME) is the amount added/subtracted in a confident interval - and it depends on the sample size; and you, at times, can decide which margin of error you desire for your project, let say.- i.e. 1%, 5%..

Standard Error = (SE) is the standard deviation of the sample if we could take many of the same samples of the same size and combine the results to get one value p.

Standard Deviation = (s) of the sample (not population) is the standard deviation of the individual values in the sample, instead a bunch of sample like bootstrap or randomization mentioned above for the SE.

[MrTeacherDO]

It would be nice if you state the Z critical value used in the 95% confidence, then it wouldn't be as confusing as for where you're getting the Confidence interval from.

[garrettmorgan]

Its insane how much better this is than my actual professor

[kempisabel]

i love your enthusiasm for maths! it keeps me interested and willing to learn more!

[letschatwithcarter]

The issue that I have with this video is, after thoroughly over explaining population, sample, sample proportion, sample deviation of sample proportion and sampling distribution, he didn't have enough space to do a written explanation on how he got his Confidence Intervals and Margin of Error; which is ironic, being a part of the videos title and the only reason I clicked play ;)

[jadsayegh]

Hi @Khan Academy, heads up: my text book actually explicitly guards against interpreting CI's with the statement "There's is a 95% probability that the population parameter is within the interval".

[joshbux]

i have my stat final tomorrow morning. i hope this video helps me pass, will update after the test