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# Chi-squared test: accepting/rejecting the null hypothesis watch

If my H0 is that there is no significant difference between the expected and observed values. And i did the test and found that mmy value was smaller than the critical value and so i accepted my H0 does that mean that there is a more than 5% probability that results are due to chance or a less than 5% probability that results are due to chance? I think i've confused my self a lot and would be grateful if someone explained to me about accepting and rejecting the null and what that means. Thanks!
2. (Original post by Miss_Jazz)
If my H0 is that there is no significant difference between the expected and observed values. And i did the test and found that mmy value was smaller than the critical value and so i accepted my H0 does that mean that there is a more than 5% probability that results are due to chance or a less than 5% probability that results are due to chance? I think i've confused my self a lot and would be grateful if someone explained to me about accepting and rejecting the null and what that means. Thanks!
It means that there is a more than 5% probability that the results are down to chance. If there was a less than 5 % probability that the results were down to chance, then you would reject the null hypothesis as its very unlikely that the null hypothesis distribution could account for the results.
3. (Original post by Miss_Jazz)
If my H0 is that there is no significant difference between the expected and observed values. And i did the test and found that mmy value was smaller than the critical value and so i accepted my H0 does that mean that there is a more than 5% probability that results are due to chance or a less than 5% probability that results are due to chance? I think i've confused my self a lot and would be grateful if someone explained to me about accepting and rejecting the null and what that means. Thanks!
if you support your hypothesis with a p=0.05 then there is a 5% or less probability that your results are due to chance.
It means that there is a more than 5% probability that the results are down to chance. If there was a less than 5 % probability that the results were down to chance, then you would reject the null hypothesis as its very unlikely that the null hypothesis distribution could account for the results.
But if there is a less than 5% probab that results are due to chance doesn't that make the results more accurate and so accept the H0SO there is no sig dif?
i'm sorry if that makes no sense lol
5. (Original post by Miss_Jazz)
But if there is a less than 5% probab that results are due to chance doesn't that make the results more accurate and so accept the H0SO there is no sig dif?
i'm sorry if that makes no sense lol
With the chi-squared test we aren't trying to look for consistency in results. Basically, you are trying to see how much difference there is between the actual data and the expected data. If there is a larger difference, there is a higher calculated chi-squared value, and hence a lower probability that the observed and expected data come from the same distribution. At a p-value below 0.05, it is very unlikely that the observed data comes from the same distribution as the expected data so you reject H0.
With the chi-squared test we aren't trying to look for consistency in results. Basically, you are trying to see how much difference there is between the actual data and the expected data. If there is a larger difference, there is a higher calculated chi-squared value, and hence a lower probability that the observed and expected data come from the same distribution. At a p-value below 0.05, it is very unlikely that the observed data comes from the same distribution as the expected data so you reject H0.
ok, that makes slightly more sense! thank you

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