Question
a)The blank is the probability of erroneously rejecting the null hypothesis.I said level of significance, is that correct?
b)If you P value is 0.05. Does that mean that 95 times out of 100, the null hypothesis will be falsely rejected (I feel like it should be 5)
b)If you P value is 0.05. Does that mean that 95 times out of 100, the null hypothesis will be falsely rejected (I feel like it should be 5)
Answers
bobpursley
a, https://statistics.laerd.com/statistical-guides/hypothesis-testing-3.php You are correct, but most call it significance level. The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.
b. if your p value is .05, The null hypothesis is rejected if the p-value is less than a predetermined level, α. α is called the significance level, and is the probability of rejecting falsely the null hypothesis given that it is true (a type I error). It is usually set at or below 5%. If your p is less than 0.05 and you REJECT the null hypothesis, then you have a risk of 5% of having falsely rejected it when it had to be accepted
b. if your p value is .05, The null hypothesis is rejected if the p-value is less than a predetermined level, α. α is called the significance level, and is the probability of rejecting falsely the null hypothesis given that it is true (a type I error). It is usually set at or below 5%. If your p is less than 0.05 and you REJECT the null hypothesis, then you have a risk of 5% of having falsely rejected it when it had to be accepted
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