Hypothesis Testing - Solving Problems With Proportions

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  • Опубліковано 12 січ 2025

КОМЕНТАРІ • 145

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +4

    Next Video: ua-cam.com/video/UcZwyzwWU7o/v-deo.html
    Final Exams and Video Playlists: www.video-tutor.net/

    • @Untouched77
      @Untouched77 Рік тому

      why do you use the mu symbol instead of p when it is a proportion?

    • @The_Engineer
      @The_Engineer 2 місяці тому

      Great video, but it would be great if you made a quick edit in the video and reuploaded it without the error. I'm glad I caught this mistake before my exam. Huge fan, thank you for all your help over the years!

  • @ThePreparedMuslim
    @ThePreparedMuslim Рік тому +13

    Another tip for anyone who reads these comments is that when finding the p-value for 0.90, it similarly is between two different values for 1.28 and 1.29. Rather than taking the average of both of these, which would still be inaccurate, you can set up a proportion. Set up a proportion where 0.89973 is to 1.28, as 0.90 is to x. x, of course, will be the value you are looking for. I set this up as .89973 over -1.28 = .90 over x. In the end you get 1.280384, and so on for a few more decimal spaces. So it is closer to 1.28. I hope that was helpful.
    And thank you for these videos, this is extremely helpful, and yes to err is human - all the best!

  • @Danieljordan2
    @Danieljordan2 2 роки тому +305

    Awesome video. Nevertheless, the tutor made a mistake in the second problem: he shoudn't divide the alpha area because this is an one tail problem. The z value is 1.285 aprox.

    • @michaeladdo7226
      @michaeladdo7226 Рік тому +9

      exactly

    • @Zaikr6
      @Zaikr6 Рік тому +23

      Well said! bro. At the end of the day the tutor is human❤

    • @andrewshaba8677
      @andrewshaba8677 Рік тому

      Yeah that's right

    • @zsnowboardern9332
      @zsnowboardern9332 Рік тому +4

      i was thinking the same i thought i was hallucinating and i warched over and over again. the video basically showed that one and two tail tests are the same lol😮. hope there is a rectification somewhere or at least correct the video

    • @zsnowboardern9332
      @zsnowboardern9332 Рік тому +1

      @@Zaikr6yes human do make mistakes but without acknowledging the mistakes is a problem

  • @sirasidibe95
    @sirasidibe95 2 роки тому +37

    paying over $2k for a stat class and almost failing but I'm actually learning and understand for FREE on UA-cam.TYSM! These vids literally are saving me from failing. Ive watched other stat videos but this does it I swear!

    • @paulchen355
      @paulchen355 Рік тому

      I am having the same experience

  • @ErtOzk
    @ErtOzk 5 років тому +62

    Last question is not two side, you made an error with dividing the alpha.
    Passed. Thanks :D

  • @missnurse5295
    @missnurse5295 3 роки тому +7

    THANK YOU!! For taking your time to explain each step of the problem instead of throwing in a lot of fancy terms and a lot of blah blah l searched over 20 videos today for a simple explanation and couldn't find it until I seen your video.... Thanks a million!!

  • @insaf_
    @insaf_ 2 роки тому +40

    I know a couple people mentioned it already but in case you missed the notifications, its a one tail test. so Zc= 1.28

  • @Jennyofthesky
    @Jennyofthesky 4 роки тому +11

    I am so greatful for these videos!!!!!!!! Thank you so much man. I love the way you carefully explain EVERYTHING you do, and I love how you always have a PERSON who is giving out H(1). It is so much clearer to determine H(1) when you say “The market manager does not believe this is true”

  • @huffypuff6707
    @huffypuff6707 Рік тому

    Thank you SO much!! The amount of relief I feel when I see you have a video covering the topic I am stuck on... You've been the goat for years

  • @Ankit-hs9nb
    @Ankit-hs9nb Рік тому +1

    Thank you so much!

  • @mindoII
    @mindoII 3 роки тому +37

    you doing more than my teachers u deserve my tuition fee 🤧
    edit: got a good grade because of u

  • @talkingkangaroo4934
    @talkingkangaroo4934 5 років тому +153

    For Q2, why do you use Z of 1.645? Isn't this a one-tailed test where the 10% rejection region is all on the right tail?

    • @r.n.3709
      @r.n.3709 5 років тому +5

      @Tiffany Dang yea coz alpha is just 0.1 and area to the right is 0.9

    • @ErtOzk
      @ErtOzk 5 років тому +16

      Answer is still true but yep its one side and we don’t need to divide alpha value.

    • @estherkang4593
      @estherkang4593 4 роки тому +1

      @Tiffany DangSame, someone explain this!

    • @marijatosic217
      @marijatosic217 4 роки тому +15

      Exactly. I think he just got a bit confused and didn't review it. There is a video where he explains this correctly. :)

    • @masterlaughter4924
      @masterlaughter4924 4 роки тому

      I agree!

  • @borisszeto2381
    @borisszeto2381 Рік тому +1

    Thank you for your teaching video, you are the best professor on youtube who saved my GPA

  • @nurulbalqis2647
    @nurulbalqis2647 4 роки тому +10

    In the 2nd question, the alpha does not have to be divided into 2 right? the whole alpha is on the right tailed side

  • @augustinemulai9197
    @augustinemulai9197 2 місяці тому

    Thank you, sir! Your videos had helped me a lot. You are a great teacher! Kudos!

  • @valendioah1350
    @valendioah1350 2 роки тому

    all of your video are easy to understand, with a good example and explanation, its very help me to study, thxx

  • @sylviogiraldes
    @sylviogiraldes 2 роки тому +2

    Great example. Objective and complete. Thanks for sharing.

  • @hananyisehak6693
    @hananyisehak6693 2 роки тому +2

    Perfectly explained, Thank you!

  • @HappinessYata
    @HappinessYata Рік тому +1

    This is so well explained. I was struggling a lot with that.

  • @Dark_matician
    @Dark_matician Рік тому +1

    I have an exam on this today.
    I hope this helps me.

  • @COD10410
    @COD10410 4 роки тому +30

    In the second question, shouldn't the critical z-value be 1.282? Because we don't have to divide the alpha

  • @URANUSguys
    @URANUSguys 7 місяців тому

    Im taking a re-test for the statistics course this sem, even if i pass it i can only have a D grade, if only i had seen these videos on time i could have gotten atleast a b+.
    Last sem i barely passed the prob course, which you have also covered in this playlist. I barely passed the course!!😭.
    i wish i had seen these videos before!!

  • @claudiamesaaparicio8517
    @claudiamesaaparicio8517 4 роки тому +8

    the critical value is 1.28 because is one side test, we do not need to devide alpha. Two side test will be 1.645

    • @josemariaalipio449
      @josemariaalipio449 4 роки тому +1

      1.28 critical value is correct. It is indeed a one-sided test.

  • @richardl.4374
    @richardl.4374 4 роки тому +11

    Why did you use 1.645 in the second question when our alpha is only 1 tailed? Isnt the critical value supposed to be 1.285

  • @okellofrancis2218
    @okellofrancis2218 3 роки тому

    I'm grateful for the video it really helped me to understand hypothesis testing

  • @omaimaelshamy6680
    @omaimaelshamy6680 2 роки тому

    Thank you so so so much , I have understood this lesson very well 👍👍👍👍👍👍😎

  • @majjoor
    @majjoor 5 місяців тому

    Thank you for the video. Just a comment regarding the last example; you calculated Z value based on two-tails assumption, but the example provided is a right-side one tail example. Z-value would be 1.28 instead of 1.645. In both cases Ho will be rejected. I think you wanted to illustrated the different calculations when the problem is one-tail or two-tails hypothesis testing.

  • @y.se-won6711
    @y.se-won6711 10 місяців тому

    You're the absolute best, thank you so much!

  • @accgarage2663
    @accgarage2663 4 місяці тому

    Thanks a bunch! Nicely explained.

  • @thatomofolo452
    @thatomofolo452 Рік тому

    Thank You Mr J 🙋👍👍

  • @alisyed156
    @alisyed156 4 роки тому +1

    so much helpful thank you so much man great work

  • @PicoOp
    @PicoOp 9 місяців тому

    your videos are really great

  • @subhamlaha7943
    @subhamlaha7943 Рік тому +1

    Sir ,
    With due respect , the video is awesome , but in question it was given 10 % significance level , (i.e. 90 % Confidence interval).However , you have solved using 95 % Confidence interval. Please rectify it if possible. Otherwise , the video is awesome.

  • @dericktembo1466
    @dericktembo1466 Рік тому +3

    Awesome explanation, but shouldn’t the alternative hypothesis be # 0.60? Because the sales manager didn’t specify if the percentage is greater or less.

    • @m123-r-k6r
      @m123-r-k6r Рік тому

      The alternative hypothesis is always inverse of the null hypothesis. so if the null hypothesis states "less than", the alternative hypothesis is "more than"

  • @مهندس_مشعل_العقيل
    @مهندس_مشعل_العقيل 4 роки тому +6

    brother, the null hypothesis should = 60 in Q2 because null hypothesis is an equality not an interval + it's a lower tail test meaning that p

  • @inspirationalquotes5840
    @inspirationalquotes5840 3 місяці тому +1

    for the second example, the critical z-value is not 1.645, it is 1.28

  • @iremiposiajayi122
    @iremiposiajayi122 Рік тому +1

    To get the standard error, why do we use the proportion in the null rather than the sample proportion? Why can’t the sample proportion estimate the population proportion (like with means)?

  • @cypriankibet1205
    @cypriankibet1205 3 роки тому +1

    Take down question 2 part where you divide by 2 its alpha, no need to divide by 2 when its a one tailed test. Otherwise, am enjoying the series Sir. Hours to my exams hahaha!!!

  • @undergraduateMath
    @undergraduateMath 3 роки тому +1

    Thanks alot OCT.. but how can we find the critical point without using tables?

  • @aeriiful
    @aeriiful 8 місяців тому +6

    i can't do this anymore

    • @king_midzo
      @king_midzo 5 місяців тому

      😂😂😂😂

  • @pran8466
    @pran8466 2 роки тому

    You just save a life

  • @malaik9
    @malaik9 7 місяців тому

    I understand the logic of you distributing the 10% into 2 but are there conditions one can use the whole 10% significance interval for a 1 tail t test or is it just always that one must divide whatever SL they get

  • @HeckaS
    @HeckaS 3 роки тому

    Like others have mentioned in question 2: Hnull should be an equality.

  • @ZainAsif-v8n
    @ZainAsif-v8n Рік тому

    Amazing Video. However, I think you made a mistake in second problem. As it is one tail test(right tail), hence you should not divide alpha(significance level region) region and z critical value should be 1.282, not 1.645.The couple of Guys have already mentioned it and i guess Correction should be made in video.

  • @JanayBellamy
    @JanayBellamy Рік тому

    Why did the marketing manager go to town XYZ with a survey? Because he wanted to know if everyone there was "cell-fish" with their phones! (a) Null hypothesis: The percentage of cell phone owners is 70%. Alternative hypothesis: The percentage of cell phone owners is different from 70%. (b) Let's crunch the numbers and see if he's about to make a "call" that changes the marketing game!

  • @viktor2978
    @viktor2978 Рік тому

    Are we always using the z value because n > 30? Or is it always the z value because it's different for proportions?

    • @shadowfire04
      @shadowfire04 Рік тому

      because n > 30, from what i understand. you would use t-distribution if n < 30 and the population std. dev was not known.

  • @bars1628
    @bars1628 5 років тому

    thanks for video series

  • @lol_gmz
    @lol_gmz 3 роки тому

    Thank you so much😁

  • @lsacy8347
    @lsacy8347 2 роки тому

    why are we using for Q1 the variance of h0 instead of the sample proportion?

  • @isabelgoh566
    @isabelgoh566 4 роки тому

    Why need to draw a two-tail test when it one tail? Then alpha 0.05 + 0.9 in order to get Z score?

  • @shagurtham
    @shagurtham 3 роки тому

    can you please perform one example with t-test when n < 30

  • @karlbautista1960
    @karlbautista1960 Рік тому

    isnt it suppose to be left tailed test coz it says less than 60%? and if more than is right tailed test?

  • @aneelailyas5973
    @aneelailyas5973 Рік тому

    this is one tail, upper tail, and for Z alpha (10%) for one side value will be 1.28 is not it?

  • @BelindaJemeli
    @BelindaJemeli 29 днів тому

    ❤❤ awesome 😎

  • @moindalvs
    @moindalvs 2 роки тому

    @2:19 I was it was high on potenuse

  • @DeepakYadav-dk1dh
    @DeepakYadav-dk1dh 2 роки тому

    I'm confused...i saw one of your video for z test...the Z test formula there was different than what it is here....there Z = ((sample mean - population mean )/ (population standard deviation * root of sample size))

    • @argha-qi5hf
      @argha-qi5hf 2 роки тому

      There are two formulas. Both are related and can be derived from the other.

  • @russelacierto3108
    @russelacierto3108 3 роки тому

    Thank you so much sirrr

  • @RoseLK
    @RoseLK 3 роки тому +1

    Thank you so much

  • @HellenofTroy897
    @HellenofTroy897 3 роки тому +1

    Why did u split the the Alpha in question 2?

    • @Coat8678
      @Coat8678 3 роки тому

      I need to know why I’m got 1.28 for critical z

  • @CRESCENTP-cm8nj
    @CRESCENTP-cm8nj Рік тому

    I woke up at 12:00AM today

  • @nonono8368
    @nonono8368 Рік тому

    Why does the table he's using cantains different values than the ones on the web?

  • @primrosemwendwa801
    @primrosemwendwa801 3 роки тому

    Thank you!

  • @devkumar9889
    @devkumar9889 3 роки тому

    Thank you so much

  • @travelwithsamuel9220
    @travelwithsamuel9220 Рік тому

    how did you get that 0.025?

  • @m123-r-k6r
    @m123-r-k6r Рік тому

    you made a mistake for Q2. Shouldn't divide the alpha value, since it's a right-tailed test

  • @SkyrimInMyPants
    @SkyrimInMyPants 3 роки тому +2

    HOW IS EVERYONE GETTING 1.28? PLEASE EXPLAIN!!!

    • @AliAkbar-bv7zp
      @AliAkbar-bv7zp 3 роки тому

      please check the previous video of this playlist 😃

  • @3PercentTrader
    @3PercentTrader 4 місяці тому

    Calculation in 2nd example is incorrect. It needs to be for probability of 0.9 and not for 0.95. though answer remain same because Z calculated is larger than 2...

  • @sisibocitytv
    @sisibocitytv Рік тому

    The best

  • @bnnybn
    @bnnybn 3 роки тому +1

    Why is proportion represented by mu intead of p? Time-stamp: 1min

    • @undergraduateMath
      @undergraduateMath 3 роки тому

      I guess he's just used to the mu symbol.. lol.

    • @bnnybn
      @bnnybn 3 роки тому

      @@undergraduateMath No, I think he is using these symbols incorrectly. Mean vs proportion - continuous variables vs proportions (can also be found in forms of binary variables represented by 0s and 1s).

  • @srachellem
    @srachellem 3 роки тому

    thank you

  • @sohamdata
    @sohamdata 2 роки тому +3

    Significance Level = 100 - Confidence Level
    In the question, it's the S.L. that's given
    that's why, he has used C.L. = 90 %
    also, when he did Ar to the left = 0.90 + 0.05, it doesn't mean that alpha is halved.
    0.90+0.05 = 0.95 is the same as the usual formula: Ar to the left = (1+C.L.)/2 = 0.95
    just visualize (1/2) + (C.L./2) on the normal dist. (50% of the area + 50% of C.L. is needed to get the area left to the right bound)

    • @NaifAlqahtani
      @NaifAlqahtani 2 роки тому +1

      this doesnt make sense. The C.V should be 1.28 not 1.645. The shaded area for 1.645 (the rejection region) has an area of 0.05 or a S.L of 5%. The question wants a S.L of 10% which means the shaded area (rejection region) should be 0.1. using the table the C.V that give area to the right = 0.1 is C.V appx. = 1.28. NOT 1.645

  • @lanavi732
    @lanavi732 3 роки тому +4

    Since it's a one tailed test, why did we have to divide the alpha by 2?
    Edit: okay glad to see I'm not alone in the comments hahaha

  • @CRESCENTP-cm8nj
    @CRESCENTP-cm8nj Рік тому

    3:00

  • @indatawetrust101
    @indatawetrust101 2 роки тому

    Why is the first problem not solved using binomial distribution?

    • @indatawetrust101
      @indatawetrust101 2 роки тому

      Normal approximation for a binomial distribution just clicked. :D

  • @CRESCENTP-cm8nj
    @CRESCENTP-cm8nj Рік тому

    12:00

  • @hetavvakani7025
    @hetavvakani7025 Рік тому +1

    I guess you made a mistake while calculating the z-value in the second problem. It should be 1.29

  • @lethalllex
    @lethalllex 2 роки тому

    none of my assignments for hypothesis training are worded like this

  • @carlotabarrosferreira3117
    @carlotabarrosferreira3117 Рік тому

    meu amigo, amo te com tudo o que tenho

  • @andredejager3637
    @andredejager3637 4 роки тому +1

    2nd half of video is wrong, please edit or remove, thanks

  • @jaggyd2862
    @jaggyd2862 7 місяців тому

    8:13 Dont mind me

  • @akirmarmay3142
    @akirmarmay3142 2 роки тому

    1 minus 0.60 is 40?!! what

  • @martinavila7673
    @martinavila7673 2 роки тому

    I love us much

  • @emmettdonnelly4260
    @emmettdonnelly4260 3 роки тому

    LEGEND

  • @suptydewan10
    @suptydewan10 10 місяців тому

    67

  • @dimitriysevryukov1629
    @dimitriysevryukov1629 Рік тому

    Thank you very much !

  • @abdulazizalharbi8066
    @abdulazizalharbi8066 Рік тому

    Thank you so much