Hypothesis testing with critical values
1. A driving school has records showing that, over a long period, 72% of its students passed their test on the first attempt. Under a new management, some of the procedures have changed and they want to find out whether the pass rate has changed.
The hypotheses are tested using a random sample of 50 students. It is decided that the null hypothesis should be accepted if between 30 and 40 (inclusive) of the students pass the test on the first attempt.
a) State the critical region for the test
b) Find the probability of incorrectly rejecting the null hypothesis. What can be said about the significance level of the test.
Any help is appreciated!
The hypotheses are tested using a random sample of 50 students. It is decided that the null hypothesis should be accepted if between 30 and 40 (inclusive) of the students pass the test on the first attempt.
a) State the critical region for the test
b) Find the probability of incorrectly rejecting the null hypothesis. What can be said about the significance level of the test.
Any help is appreciated!
Please remember that the study help forum is not here to do homework for students and they will only provide feedback on your attempts at the solution and hints at guiding you to the correct answer. So please include your working so far and any thoughts on next steps if you are stuck, so the study helpers can assist you 
Original post by artful_lounger
Please remember that the study help forum is not here to do homework for students and they will only provide feedback on your attempts at the solution and hints at guiding you to the correct answer. So please include your working so far and any thoughts on next steps if you are stuck, so the study helpers can assist you
Hi, I'm sorry I've only been able to write out the hypotheses and am completely stuck on where to go from there.
Here is what I have written so far:
H0: p=0.72
H1: p ≠ 0.72
p= proportion of students who pass the drivers test their first time.
X= number of students who pass the drivers test their first time
X~B(50,0.72)
However I'm stuck on where to go from here as we haven't been given a significance level (i think).
Thank you.
(edited 5 months ago)
Original post by kghj
Hi, I'm sorry I've only been able to write out the hypotheses and am completely stuck on where to go from there.
Here is what I have written so far:
H0: p=0.72
H1: p ≠ 0.72
p= proportion of students who pass the drivers test their first time.
X= number of students who pass the drivers test their first time
X~B(50,0.72)
However I'm stuck on where to go from here as we haven't been given a significance level (i think).
Thank you.
Here is what I have written so far:
H0: p=0.72
H1: p ≠ 0.72
p= proportion of students who pass the drivers test their first time.
X= number of students who pass the drivers test their first time
X~B(50,0.72)
However I'm stuck on where to go from here as we haven't been given a significance level (i think).
Thank you.
Youre asked to state the critical region and the numbers are given in the question.
Quick Reply
Related discussions
- Binomial hypothesis test question
- NEA T-test
- Central Limit Theorem: How do you calculate the test statistic?
- a level math stats
- Applied Science Unit 3 investigation skills
- hypothesis testing PMCC
- Hypothesis testing with critical values
- Hypothesis testing with critical values
- hypothesis Testing with only > Mean side of z table
- Edexcel A-level Biology B Paper 3 (9BI0 03) - 21st June 2023 [Exam Chat]
- normal distribution hypothesis testing
- AQA A Level Mathematics Paper 3 (7357/3) - 20th June 2023 [Exam Chat]
- a level maths hypothesis testing q
- Hypothesis Testing
- HNC Maths Question Hand Drawn Sketch
- Ocr Mei further maths stats major
- Hypothesis Testing
- How to get a job??
- What do you need to and not need to memorise for Research Methods in psych?
- Edexcel A level Maths 2023 paper 3 UOMS
Latest
Trending
Last reply 4 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 4 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
