Summary
Summary summarized
- Institution
- University Of Leicester (LE)
Summary of 3 pages for the course introduction to software engineering at LE (summarized)
[Show more]
Seller
Follow
Content preview
Summary sheet: Statistical hypothesis testingO1 Understand and apply the language of statistical hypothesis testing, developed through a
binomial model: null hypothesis, alternative hypothesis, significance level, test statistic,
1-tail test, 2-tail test, critical value, critical region, acceptance region, p-value
O2 Conduct a statistical hypothesis test for the proportion in the binomial distribution and
interpret the results in context
Understand that a sample is being used to make an inference about the population and
appreciate that the significance level is the probability of incorrectly rejecting the null
hypothesis
Hypothesis testing
A hypothesis test uses statistical techniques to test a particular claim (the hypothesis). In a hypothesis
test, a sample from the population is used to see if the result from that sample is consistent with the
claim.
Hypothesis testing using the binomial distribution
In a hypothesis test using the binomial distribution B(n, p), you are testing whether the population
proportion (p) takes a particular value. For example, you might want to decide whether a six-sided
spinner is biased, and you might test this by spinning it 20 times and seeing how many sixes come up.
1. Setting up the hypotheses
The first step is to state the hypotheses for the test.
• The null hypothesis, denoted as H0, is that p takes a particular value. This would be the value
that you might expect (e.g. if you are counting the number of sixes that come up when you spin a
fair six-sided spinner 50 times, you would expect p to be 16 ).
You write: H0: p = 16 .
• The alternative hypothesis, denoted as H1, takes one of three forms, depending on what you are
testing.
o If you think the spinner is biased so that it is more likely to show a six, the alternative
hypothesis is H1: p 16 .
o If you think the spinner is biased so that it is less likely to show a six, the alternative
hypothesis is H1: p 16 .
o If you think the spinner is biased but you don’t know which way, the alternative
hypothesis is H1: p 16 .
If the alternative hypothesis involves < or >, the test is a one-tailed test. You are testing to see if there
has been a change, or something unusual, in a particular direction.
If the alternative hypothesis involves , the test is a two-tailed test. You are testing to see if there has
been a change, or something unusual, but it could be in either direction.
2. The significance level
The significance level needs to be set before carrying out the test. Often a significance level of 5% is
used, but other significance levels could be used. The significance level is the probability of rejecting the
1 of 3 12/05/21 © MEI
integralmaths.org
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller okikiolaemmanuelomokanye. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £10.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
70113 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 15 years now