Hypothesis Testing - Chi-Squared Goodness of Fit Test (Binomial)

Covers the Chi-Squared Goodness of Fit Test, as outlined in the International Baccalaureate Standard Level Applications and Interpretation Diploma Program. Specifically testing against a Binomial Distribution. Includes the use of the Graphical Display Calculator (GDC).

[@nuggetchickin6618]

thank you very much bossman. very appreciated

[@mathsican7796]

Glad to help

[@ashiecore]

Thank you for a very helpful video! I'm currently starting mathematics revision for my final exams and you explained the questions clearly (I especially appreciate manually outlining how to calculate the test on the GDC), it helped me to grasp this area of the material quite fast!

[@mathsican7796]

Glad that it helped. Good luck in your final exams.

[@elena-mh3oh]

really helpful video! studying for the n22 exams rn

[@mathsican7796]

I’m glad that you found it helpful 👍 good luck

[@xrhsthsuserxrhsths]

Thanks for the very helpful videos. I think there is a mistake. The question in the beginning gives a 5% significance level. However the final answer is that "there is sufficient evidence, at the 10% significance level, ..." Am I missing something?

[@mathsican7796]

Hi. Thanks for pointing this out. You are correct there is an error right at the end, however it does not affect the outcome of the test. The test statistic is less than the critical value, so the Null hypothesis is accepted. It should state “that there is insignificant evidence at the 5% level to reject the null hypothesis”. Even if the P-value was compared the the 5% significant level, the conclusion would have been the same - accept H0. I hope these makes it clear and many thanks again.

[@xrhsthsuserxrhsths]

@@mathsican7796 Thank you for your reply and for making these videos so clear and available on KZbin!

[@mathsican7796]

you’re welcome.

[@RinkiKumari-ed2bn]

3:35 why did you put the p value as 0.5 and how to determine it in different questions

[@mathsican7796]

the probability of ‘success’ in my example was 0.5 because that was the probability of getting a ‘head’ when a coin is tossed once, or 1/2 as a fraction. Suppose in another question you had rolled a dice four times and recorded the number of times you scored a 5, then the probability of ‘success’ in that question would be 1/6, as that is the chance of getting a 5 when a dice is rolled once. So in general, the probability of success, what you referred to as p value, is determined by a simple probability calculation, determined by what is chosen to be ‘success’ in the question. I hope this makes it clear.

[@RinkiKumari-ed2bn]

@@mathsican7796 understood, thank you so much sir for making this so clear, respect :D.