Binomial Distribution: Find Critical Values

Related Topics:
More Lessons for A Level Maths
Math Worksheets

Share this page to Google Classroom

Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths. In this lesson, we will learn Hypothesis Testing for a Binomial Distribution.

Hypothesis Testing - Critical Values - Two Tail Test - Binomial Distribution
In this example you are shown how to find the upper and lower critical values and the actual significance of a test.
A person suggests that the proportion, p of red cars on a road is 0.3. In a random sample of 15 cars it is desired to test the null hypothesis p = 0.3 against the alternative hypothesis p ≠ 3 at a nominal significance level of 10%. Determine the appropriate rejection region and the actual significance level.

Statistics: Hypothesis testing critical value method for a Binomial Distribution example
Quite often we can find the critical value for a given test and also this can be used an alternative method of testing a hypothesis.
One tail tests for a binomial distribution.
A manufacturer claims that 2 out of 5 people prefer soapy suds washing powder over any other brand. For a sample of 25 people, only 4 people are found to prefer Soapy Suds. Is the manufacturer’s claim justified? Test at the 5% level of significance.

Hypothesis testing - Finding an Upper Critical Value for the Binomial Distribution
In this example you are required to work out the upper critical value for a Binomial Distribution. Example:
A particular drug has a 1 in 4 chance of curing a certain disease. A new drug is developed to cure the disease. How many people would need to be cured in a sample of 20 if the new drug was to be deemed more successful at curing the disease than the old drug to obtain a significant result at the 5% level?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.