Edexcel S2 help
I'm having trouble with hypothesis testing. Could someone please give me hints on how to do this particular question (from Jan 09)?
A single observation x is to be taken from a Binomial distribution B(20, p).
This observation is used to test H0 : p = 0.3 against H1 : p ? 0.3
(a) Using a 5% level of significance, find the critical region for this test.
The probability of rejecting either tail should be as close as possible to 2.5%.
(b) State the actual significance level of this test.
The actual value of x obtained is 3.
(c) State a conclusion that can be drawn based on this value giving a reason for your
answer.
Any help would be greatly appreciated.
A single observation x is to be taken from a Binomial distribution B(20, p).
This observation is used to test H0 : p = 0.3 against H1 : p ? 0.3
(a) Using a 5% level of significance, find the critical region for this test.
The probability of rejecting either tail should be as close as possible to 2.5%.
(b) State the actual significance level of this test.
The actual value of x obtained is 3.
(c) State a conclusion that can be drawn based on this value giving a reason for your
answer.
Any help would be greatly appreciated.
For the alternative hypothesis is it P not equal to 0.3 ? Or more than ?
X ? B(20, 0.3)
P (X less than or equal to 2) = 0.0355
P(X more than or equal to 11) = 1 – 0.9829 = 0.0171
Critical region is (X less than or equal to 2) with (X more than or equal to 11)
(b) Significance level = 0.0355 + 0.0171, = 0.0526 or 5.26%
(c) Insufficient evidence to reject H0
x = 3 ( or the value) is not in the critical region or 0.1071> 0.025
P (X less than or equal to 2) = 0.0355
P(X more than or equal to 11) = 1 – 0.9829 = 0.0171
Critical region is (X less than or equal to 2) with (X more than or equal to 11)
(b) Significance level = 0.0355 + 0.0171, = 0.0526 or 5.26%
(c) Insufficient evidence to reject H0
x = 3 ( or the value) is not in the critical region or 0.1071> 0.025
(edited 13 years ago)
Quick Reply
Related discussions
- S1 and S2 Crib sheets (Edexcel)
- Further Maths 2023/2024!!!
- What units do I need for Edexcel IAL or IAS Further Maths
- Messed up CIE Math P3 and Physics P4.
- How to have my school allow year 12 to choose a math subject for year 13.
- AS Level stats help!!
- Revising for Edexcel's AS Maths - running out of material.
- A - levels for LSE
- Further Maths Modules
- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- A levels for LSE accounting and finance
- A level math module
- Capacitor Question (PHYS)
- GCSE Exam Discussions 2024
- Help polymers
- Circuits Question
- Arsey's solutions
- Confused in choosing the right combination for A2 in maths
- How bad are these Cambridge NSAA scores?
- BMAT practise papers advice
Latest
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
