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What is the probability of correctly rejecting h0?
If the null hypothesis is false, then the probability of a Type II error is called β (beta). The probability of correctly rejecting a false null hypothesis equals 1- β and is called power.
What does it mean if the p-value is very small?
A very small P-value indicates that the null hypothesis is very incompatible with the data that have been collected. A small P-value could be simply due to a very large sample size regardless of the effect size. A P-value>0.05 does not mean that no effect was observed, or that the effect size was small.
Is AP value of 0.04 significant?
The Chi-square test that you apply yields a P value of 0.04, a value that is less than 0.05. The interpretation is wrong because a P value, even one that is statistically significant, does not determine truth.
Can a null hypothesis be rejected with a p value below 0.05?
However, if the p -value is below your threshold of significance (typically p < 0.05), you can reject the null hypothesis, but this does not mean that there is a 95% probability that the alternative hypothesis is true.
How do you know if a p value is statistically significant?
How do you know if a p-value is statistically significant? The level of statistical significance is often expressed as a p-value between 0 and 1. The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. A p-value less than 0.05 (typically ≤ 0.05) is statistically significant.
Why are the p values of the probability test so small?
Equivalently: The probability test T generates such impressively small p-values under the assumption they are due to chance alone is very small, p. Equivalently, a universe adequately described by H0 would produce such impressively small p-values only p (100)% of the time.
Why do we reject h 0 when p is less than 5%?
Although 5% usually is taken as the significance level, there is no real scientific reason for choosing that versus any other small value. Always rejecting H 0 when p is less than 5% results in an incorrect rejection of the null hypothesis 5% of the time.