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Type I and type II errors
When testing hypothesis (H0) and deciding to either reject or accept a null hypothesis, there are four possible happenings.
a) Acceptance of a true hypothesis as correct decision - accepting the null hypothesis and it occurs to be the correct decision. Note that statistics does not provide absolute information; hence its conclusion could be wrong only that the probability of it being right is high.
b) Rejection of a false hypothesis as correct decision.
c) Rejection of a true hypothesis - (incorrect decision) - it is called type I error, along with probability = α.
d) Acceptance of a false hypothesis - (incorrect decision) - it is called type II error, along with probability = β.
IN THIS WE HAVE TO ADD THE PROBABILITY of 3 and 5 occuring separtely and subtract prob. of 3 and 5 occuring together therefore p=(166+100-33)/500=233/500=0.466
If A, B and P are the points (-4, 3), (0, -2) and (α,β) respectively and P is equidistant from A and B, show that 8α - 10β + 21= 0. Ans : AP = PB ⇒ AP 2 = PB 2 (∝ + 4) 2
t=2x/s-7
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