Hypothesis Testing - Solving Problems With Proportions

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  • Опубликовано: 4 ноя 2024

Комментарии • 140

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +2

    Next Video: ruclips.net/video/UcZwyzwWU7o/видео.html
    Final Exams and Video Playlists: www.video-tutor.net/

    • @Untouched77
      @Untouched77 Год назад

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

  • @Danieljordan2
    @Danieljordan2 2 года назад +271

    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 Год назад +8

      exactly

    • @Zaikr6
      @Zaikr6 Год назад +22

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

    • @andrewshaba8677
      @andrewshaba8677 Год назад

      Yeah that's right

    • @zsnowboardern9332
      @zsnowboardern9332 Год назад +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 Год назад +1

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

  • @sirasidibe95
    @sirasidibe95 2 года назад +31

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

    • @paulchen355
      @paulchen355 Год назад

      I am having the same experience

  • @AbdullaHernandez
    @AbdullaHernandez 10 месяцев назад +6

    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!

  • @ErtOzk
    @ErtOzk 4 года назад +49

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

  • @missnurse5295
    @missnurse5295 2 года назад +5

    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!!

  • @huffypuff6707
    @huffypuff6707 11 месяцев назад

    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

  • @Jennyofthesky
    @Jennyofthesky 3 года назад +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”

  • @insaf_
    @insaf_ 2 года назад +34

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

  • @talkingkangaroo4934
    @talkingkangaroo4934 5 лет назад +150

    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 4 года назад +5

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

    • @ErtOzk
      @ErtOzk 4 года назад +15

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

    • @estherkang4593
      @estherkang4593 4 года назад +1

      @Tiffany DangSame, someone explain this!

    • @marijatosic217
      @marijatosic217 4 года назад +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 года назад

      I agree!

  • @mindoII
    @mindoII 3 года назад +34

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

  • @HappinessYata
    @HappinessYata Год назад +1

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

  • @valendioah1350
    @valendioah1350 2 года назад

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

  • @sylviogiraldes
    @sylviogiraldes Год назад +2

    Great example. Objective and complete. Thanks for sharing.

  • @borisszeto2381
    @borisszeto2381 Год назад +1

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

  • @hananyisehak6693
    @hananyisehak6693 2 года назад +2

    Perfectly explained, Thank you!

  • @URANUSguys
    @URANUSguys 5 месяцев назад

    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!!

  • @majjoor
    @majjoor 2 месяца назад

    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.

  • @Dark_matician
    @Dark_matician Год назад +1

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

  • @accgarage2663
    @accgarage2663 2 месяца назад

    Thanks a bunch! Nicely explained.

  • @nurulbalqis2647
    @nurulbalqis2647 4 года назад +9

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

  • @claudiamesaaparicio8517
    @claudiamesaaparicio8517 4 года назад +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 года назад +1

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

  • @okellofrancis2218
    @okellofrancis2218 2 года назад

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

  • @richardl.4374
    @richardl.4374 3 года назад +8

    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

  • @COD10410
    @COD10410 4 года назад +29

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

  • @thatomofolo452
    @thatomofolo452 Год назад

    Thank You Mr J 🙋👍👍

  • @y.se-won6711
    @y.se-won6711 8 месяцев назад

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

  • @Ankit-hs9nb
    @Ankit-hs9nb Год назад +1

    Thank you so much!

  • @subhamlaha7943
    @subhamlaha7943 11 месяцев назад +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.

    • @hanifayyash2336
      @hanifayyash2336 11 месяцев назад

      i'm glad someone noticed this too

  • @omaimaelshamy6680
    @omaimaelshamy6680 2 года назад

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

  • @PicoOp
    @PicoOp 7 месяцев назад

    your videos are really great

  • @dericktembo1466
    @dericktembo1466 Год назад +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 10 месяцев назад

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

  • @سنابات_مشعل_العقيل
    @سنابات_مشعل_العقيل 4 года назад +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

  • @aeriiful
    @aeriiful 6 месяцев назад +4

    i can't do this anymore

    • @king_midzo
      @king_midzo 3 месяца назад

      😂😂😂😂

  • @ZainAsif-v8n
    @ZainAsif-v8n 10 месяцев назад

    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.

  • @alisyed156
    @alisyed156 4 года назад +1

    so much helpful thank you so much man great work

  • @pran8466
    @pran8466 2 года назад

    You just save a life

  • @malaik9
    @malaik9 4 месяца назад

    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

  • @cypriankibet1205
    @cypriankibet1205 2 года назад +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!!!

  • @iremiposiajayi122
    @iremiposiajayi122 11 месяцев назад +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)?

  • @inspirationalquotes5840
    @inspirationalquotes5840 21 день назад

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

  • @JanayBellamy
    @JanayBellamy Год назад

    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!

  • @devkumar9889
    @devkumar9889 3 года назад

    Thank you so much

  • @primrosemwendwa801
    @primrosemwendwa801 3 года назад

    Thank you!

  • @bars1628
    @bars1628 5 лет назад

    thanks for video series

  • @viktor2978
    @viktor2978 Год назад

    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 11 месяцев назад

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

  • @lol_gmz
    @lol_gmz 3 года назад

    Thank you so much😁

  • @russelacierto3108
    @russelacierto3108 3 года назад

    Thank you so much sirrr

  • @undergraduateMath
    @undergraduateMath 3 года назад +1

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

  • @HeckaS
    @HeckaS 3 года назад

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

  • @srachellem
    @srachellem 3 года назад

    thank you

  • @aneelailyas5973
    @aneelailyas5973 Год назад

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

  • @RoseLK
    @RoseLK 3 года назад +1

    Thank you so much

  • @karlbautista1960
    @karlbautista1960 Год назад

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

  • @sohamdata
    @sohamdata Год назад +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 Год назад +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

  • @sisibocitytv
    @sisibocitytv Год назад

    The best

  • @DeepakYadav-dk1dh
    @DeepakYadav-dk1dh 2 года назад

    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 года назад

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

  • @lsacy8347
    @lsacy8347 2 года назад

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

  • @shagurtham
    @shagurtham 2 года назад

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

  • @nonono8368
    @nonono8368 Год назад

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

  • @isabelgoh566
    @isabelgoh566 4 года назад

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

  • @CRESCENTP-cm8nj
    @CRESCENTP-cm8nj Год назад

    I woke up at 12:00AM today

  • @3PercentTrader
    @3PercentTrader Месяц назад

    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...

  • @m123-r-k6r
    @m123-r-k6r 10 месяцев назад

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

  • @HellenofTroy897
    @HellenofTroy897 3 года назад +1

    Why did u split the the Alpha in question 2?

    • @Coat8678
      @Coat8678 3 года назад

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

  • @carlotabarrosferreira3117
    @carlotabarrosferreira3117 Год назад

    meu amigo, amo te com tudo o que tenho

  • @moindalvs
    @moindalvs 2 года назад

    @2:19 I was it was high on potenuse

  • @travelwithsamuel9220
    @travelwithsamuel9220 11 месяцев назад

    how did you get that 0.025?

  • @lanavi732
    @lanavi732 3 года назад +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

  • @hetavvakani7025
    @hetavvakani7025 Год назад +1

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

  • @SkyrimInMyPants
    @SkyrimInMyPants 3 года назад +2

    HOW IS EVERYONE GETTING 1.28? PLEASE EXPLAIN!!!

    • @AliAkbar-bv7zp
      @AliAkbar-bv7zp 2 года назад

      please check the previous video of this playlist 😃

  • @bnnybn
    @bnnybn 3 года назад +1

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

    • @undergraduateMath
      @undergraduateMath 3 года назад

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

    • @bnnybn
      @bnnybn 3 года назад

      @@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).

  • @lethalllex
    @lethalllex 2 года назад

    none of my assignments for hypothesis training are worded like this

  • @CRESCENTP-cm8nj
    @CRESCENTP-cm8nj Год назад

    3:00

  • @CRESCENTP-cm8nj
    @CRESCENTP-cm8nj Год назад

    12:00

  • @indatawetrust101
    @indatawetrust101 2 года назад

    Why is the first problem not solved using binomial distribution?

    • @indatawetrust101
      @indatawetrust101 2 года назад

      Normal approximation for a binomial distribution just clicked. :D

  • @andredejager3637
    @andredejager3637 4 года назад +1

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

  • @emmettdonnelly4260
    @emmettdonnelly4260 3 года назад

    LEGEND

  • @suptydewan10
    @suptydewan10 7 месяцев назад

    67

  • @martinavila7673
    @martinavila7673 2 года назад

    I love us much

  • @akirmarmay3142
    @akirmarmay3142 2 года назад

    1 minus 0.60 is 40?!! what

  • @jaggyd2862
    @jaggyd2862 4 месяца назад

    8:13 Dont mind me

  • @abdulazizalharbi8066
    @abdulazizalharbi8066 Год назад

    Thank you so much

  • @dimitriysevryukov1629
    @dimitriysevryukov1629 Год назад

    Thank you very much !