Turn on thread page Beta
    • Thread Starter
    Offline

    17
    ReputationRep:
    Hi guys.

    Recently I’ve been working my way through S2 then straight on to S3, so I’ve been doing a lot of hypothesis testing.

    Now that I am coming to the end of S3 I’ve realised that I actually don’t know what the significance level of a hypothesis test actually means.

    I know how to use the significance level to perform the hypothesis test but I’m not entirely sure what it is.

    Could someone please explain it to me.

    Thanks in advance.
    Posted on the TSR App. Download from Apple or Google Play
    • Community Assistant
    • Study Helper
    Offline

    20
    ReputationRep:
    Community Assistant
    Study Helper
    (Original post by Shaanv)
    Hi guys.

    Recently I’ve been working my way through S2 then straight on to S3, so I’ve been doing a lot of hypothesis testing.

    Now that I am coming to the end of S3 I’ve realised that I actually don’t know what the significance level of a hypothesis test actually means.

    I know how to use the significance level to perform the hypothesis test but I’m not entirely sure what it is.

    Could someone please explain it to me.

    Thanks in advance.
    A simple example:

    Say you have a coin that you are testing to see if it is biased towards heads. Your null hypothesis is that it's not biased so you assume that the probability of heads is 1/2.

    You toss ten coins and get eight heads. Is that enough evidence to say that it's biased? It does feels like something unlikely has just happened.

    Well P(>=8 heads) = 0.05

    This unlikely event has just a 5% probability of occurring so assuming the null hypothesis is correct, you've just done a trial that has a 5% chance of happening. Is this enough evidence to say the coin is not fair? Is 5% really that unlikely?

    It all depends on what you set as the significance level. If you've set it as 10% then this will be enough evidence to reject the null hypothesis. But if your significance level is 1% then that's not enough evidence.

    The lower you set the significance level, the more unlikely the event has to be (if you assume H_0) for you to reject H_0.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: March 3, 2018

University open days

  1. University of Bradford
    University-wide Postgraduate
    Wed, 25 Jul '18
  2. University of Buckingham
    Psychology Taster Tutorial Undergraduate
    Wed, 25 Jul '18
  3. Bournemouth University
    Clearing Campus Visit Undergraduate
    Wed, 1 Aug '18
Poll
How are you feeling in the run-up to Results Day 2018?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.