p-value:
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Probability (or the area) at the tail of a bell shaped curve, where,
center of bell = population mean,
marker = sample mean
p-value = area remaining at the tail after deducting the are
intuition:
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the lower the area ==> the higher the distance between centre and sample mean . So, we can reject hypothesis.
Steps to calculate p-value
1. Assume null hypethesis ( i.e. Population mean)
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It( actually the opposite of this ) will be the Null Hypothesis
2. Calculate sample statistics
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Now, calculate statistics from available data.
3. Calculate p-value
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If p-value is small ==> distance between population mean and sample mean is high ==> Reject Null Hypo
If p-value is big==> distance between population mean and sample mean is small ==>Fail to Reject Null Hypo
Fig : p-value (source: wiki )
As, we can not accept a null hypothesis() , we try to reject null hypo. So, it is wise to use the hypo opposite to what we are trying to establish as Null Hypo.
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