CURRENT SPEC A-Level Maths Hypothesis Tests YOU MUST KNOW!

[@callumdavis8809]

Hi Mate, I'm In my second year of A-Level and just wanted to say big thanks, this video breaks it down so well and has helped me so much!!

[@incandescentquasar3678]

You are my all time favourite Maths teacher online! You are the best! You make it easy to follow. I really don't think there's anyone can teach like you

[@xaikx2901]

I'm now doing an undergraduate degree (in maths) and your videos are still helping me out a ton. I appreciate all the time and effort you put into these and thank you for helping us get through this.

[@anish7183]

Jesus christ your videos are soooo good I don't think u understand how good this is

[@a.3160]

This guy is just the besttttt

[@jooeun5880]

the best video to watch the day before my a level stats & mech exam thank you so much

[@rosalinlazaroff8470]

These videos are just great! Thank you so much for putting them online. Brilliant!

[@Remsbletrembles]

This is an absolutely amazing video!!!!!!!!! Cannot thank you enough !!!! Absolute gold dust

[@fizzy14]

Thanks jack brown you're a legend, these videos have helped me a lot over the past 2 years.

[@Quijanos1]

Great Binomial Distribution and Statistical explanation. Thank you for the review, explanations, and examples.

[@andybooth4728]

Going to smash my mock tomorrow thanks to you.

[@fatimabibi8775]

THANK YOU! YOU ARE A STAR. A LEVEL MATHS IS VERY TRICKY BUT YOU MADE IT ENJOYABLE.

[@AlEx-ro7kd]

thank you so much, makes revising stats less of a pain now!

[@jordanw9387]

You're an absolute lifesaver, hope you get nominated for an OBE for this. Can I ask one q, do we have to also define the random variable X at the beginning of a hypothesis test - if it's not already been defined in the question?

[@TLMaths]

Some might say define X rather than p, some others p rather than X, and I've seen in some textbooks both X and p being defined independently. I always define p, making sure it is in context, and I'm sure that is enough to cover what the examiner is looking for. Requirements over this are a little ambiguous.

[@jordanw9387]

@@TLMaths Thankyou!

[@shivamwadhia]

Your videos are a godsend.

[@h.nqv1939]

Thank you so much

[@pranavkumar7500]

Thank you very much. This is a god tier video.

[@krishpanchigar1955]

Thank you mate. This vid really helped me before a test

[@mohanadou]

incredible & amazing summary thanks!

[@claymore5672]

Thank you.

[@zohareabid9809]

Thank you so much for your videos

[@bolal7700]

You are amazing ❤️❤️❤️

[@Sticky056]

You are my hero

[@iSuperMC]

Sir you better be making mad Ps from all your videos because you deserve it!

[@motrocyce_dn]

good luck to anyone else taking paper 3 today

[@richardthurein2167]

istg this guy is amazing

[@mahbodrajabpour]

thanks alot!

[@mellowhead]

When presenting the critical region of a test, would I get away with just writing: X ≤ 48 or do I have to write it as {0, 1, ... , 47, 48}? I sort of understand why X ≤ 48 could be penalised since the context of the question suggests that X cannot be less than 0.

[@TLMaths]

I would write 0 ≤ X ≤ 48, which would be fine.

[@ridamunir4408]

will a question ever tell you what method you have to use? great video btw :)

[@TLMaths]

It might ask you to find the critical region, or it might give you a student's worked solution where you've got to spot the mistakes? Subsequently you need to be aware of these methods

[@ridamunir4408]

thank you :)@@TLMaths

[@nabeelchowdhury3203]

Best video on yt

[@TLMaths]

High praise!

[@monicaburman280]

you are amazing

[@lizziedoody8340]

Great video thanks so much. Wanted to ask, would a question ask to do it in the critical region method or would you be fine just always using the other method?

[@Grace-wq7fz]

How would the question differ from the normal hypothesis testing questions to the critical region questions, how would you knw which one to do?

[@TLMaths]

The question would specifically ask you to find the critical region if that was what was wanted

[@kyllel]

you the goat

[@jameschan4929]

Very informative video. How do you tell the difference between PMCC and Spearman's rank when setting up your null hypothesis?

[@TLMaths]

If it's one or the other, it would be made clear in the question, you don't need to say which you are setting up the hypothesis

[@tomastank8763]

hi do you have a stats playlist

[@TLMaths]

Use this: sites.google.com/site/tlmaths314/home/a-level-maths-2017/full-a-level

[@avacyn2000]

You're a godsend

[@AlEx-ro7kd]

for the sample means testing theres another method of using the test statistic, z, and i'm a bit confused on how that works

[@TLMaths]

I've done the answer three different ways and this isn't enough for you?! Seriously though, I'm not currently aware of this other method you speak about - can you direct me to a worked example? Unless the question very specifically asked you to do it in a particular way, you could use any of the forms I did.

[@balathavakumar2332]

how do we decide whether its two tail or one tail for Rank Hypothesis scenarios. Are we not considering halving the significant level ? Also is the critical value for two-tail already calculated by halving the significant level

[@TLMaths]

Which exam board are you doing?

[@mrboyban]

Just for curiosity,.. are you planning any Further Stats videos?

[@TLMaths]

It would be ages away if so and would be OCR MEI focused only as that's the board my college teaches.

[@mrboyban]

​@@TLMaths I thought so! Anyway, just I'd like to thank you for all the time and effort put on those videos. It has been enormously helpful!

[@bensonkwok951]

Can we also have one that goes through double maths hypothesis testing? (E.g. chi squared test)

[@TLMaths]

That will be a way off, if and when I get to it - I'd have to be back in the classroom after lockdown.

[@bensonkwok951]

TLMaths looking forward to it. Stay home stay safe stay healthy!! Greetings from a uk boarding student stuck in Hong Kong due to covid19 :)

[@antoineblanc3219]

What about hypothesis testing with normal distribution

[@TLMaths]

Like 24:52 to 36:42 ?

[@antoineblanc3219]

On thanks you

[@antoineblanc3219]

Is this in your statistics playliat?

[@TLMaths]

Yep sites.google.com/site/tlmaths314/home/a-level-maths-2017/full-a-level/o-statistical-hypothesis-testing/03-sample-means-hypothesis-testing

[@aidanstrong1061]

Why do you think the exam boards seem to prefer the standard normal method for the sample means test? It seems like a lot of extra work for no reason

[@TLMaths]

I have no idea - I guess whoever writes the mark schemes, that may be their preferred method. It feels very much an 'old-school' way of doing it.

[@a.3160]

True, it is a lot of unnecessary work

[@Blimoh]

Do we need to know how to do the critical region method aswell?

[@TLMaths]

You may have to if they ask a question where they show a student's method and you have to spot the mistakes / make the correct conclusion.

[@shahendra5557]

Hi, do we have to understand exactly why the inequality sign of the p value you calculate is always in the same direction as the inequality sign for h1? I can't seem to exactly get my head around it for some reason - can you always compare the test statistic to np like you did for the two tailed tests, even for one tailed tests just to make sure? Not sure if what I'm asking makes sense

[@TLMaths]

Yes, you can use np to figure out where to look on one-tail or two-tail tests. As for the direction of the inequality, the whole point of a hypothesis test is to see whether what you have found is unlikely enough, so as to provide evidence to reject your null hypothesis. Let's consider an example: The standard treatment for a particular disease has a 0.4 probability of success. A certain doctor has undertaken research in this area and has produced a new drug which has been successful with 11 out of 20 patients. The doctor claims that the new drug represents an improvement on the standard treatment. Test, at the 5% significance level, the claim made by the doctor. So: H0: p = 0.4 H1: p>0.4 (as the doctor thinks the new drug will improve the probability of success). Now why would we look at P(X>=11) rather than P(X

[@shahendra5557]

@@TLMaths okay, that makes more sense, thank you

[@leavidal]

will you be doing revision video for mechanics?

[@TLMaths]

Not before tomorrow!

[@thevaultdwellerf6691]

@@TLMaths Oof we got our paper 3 tomorrow. Anyways this video is much appreciated!

[@futureinnovation9078]

do we need to know normal approximation aswell for aqa?

[@TLMaths]

Normal Approximation to Binomial? Yes

[@futureinnovation9078]

@@TLMaths also just wanted to say your actually a lifesaver keep up the videos!!

[@renfoley5747]

hi jack, when trying to calculate the x value for binomial distribution with the critical region method, i seem to get a dimension error. any idea why? (perhaps i input some data incorrectly?)

[@renfoley5747]

don't worry, i've just figured out the inv binoial function which does it for me. thanks for the vids!

[@mohammadmukhtar1666]

On the PMCC Hypothesis Test, 2 tail test, I thought we half the 0.514 because its a 2 tailed test, why did you keep it the same?

[@TLMaths]

You are told the critical value for the two-tail test and that's the one you use (the significance level has already been halved to get to that value)

[@mohammadmukhtar1666]

@@TLMaths Oh ok, cheers!

[@SomewhereGalaxy]

I'm doing AQA and we get the statistical tables

[@TLMaths]

I teach AQA and you don't. You may have used them in class but you don't get them in the exam.

[@SomewhereGalaxy]

@@TLMathsI assume this is linear? Maybe my college has made a mistake but for my past two papers my formula booklets have had the statistical tables in

[@TLMaths]

I've just checked with the exams office - the formulae booklets we were sent for AQA linear have no stats tables. Perhaps you were given the AQA further maths formulae booklets instead by mistake, which do have stats tables.

[@thomasn516]

@@TLMathsThe textbook has questions in where you need to look at tables in the back though, does this mean in the exam they would give you the tables in the exam paper?

[@TLMaths]

Highly unlikely as they wouldn't have expected you to see them. No papers from any of the boards have done this. You're meant to have a calculator that can handle binomial and normal distributions, so there's no requirement to have the tables.

[@tomastank8763]

hi do you have a stats playlist

[@TLMaths]

Use this: sites.google.com/site/tlmaths314/home/a-level-maths-2017/full-a-level