# Talk:Statistical hypothesis testing

## Common test statistics

I corrected the erroneous last test, ("regression t-test") to a correct F-test. Harald Lang, 2015-11-29.

## relationships

Does a mans financial responsibility only start when the couple gets married?

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## Clairvoyant example...

The probability of getting every guess correct (clairvoyantly) is said to be

(1/4)^25 ~= 10^-15

This is basically the 1/4 probability that a card will be of a chosen suit rasied to the power of the number of correctly chosen cards right?

So then the probability of getting between 10 and 25 of the choices correct is the sum of getting exactly 10,11,12,13, etc.. up to 25 choices correct so if I put that into Wolfram's summation widget I get something like 1.26*10^-6, NOT ~= .07 as stated in the article?

Am I missing something here?

http://www.wolframalpha.com/input/?i=sum+[%2F%2Fmath:%281%2F4%29^k%2F%2F],+[%2F%2Fmath:k%2F%2F],+[%2F%2Fmath:10%2F%2F],+[%2F%2Fmath:25%2F%2F] — Preceding unsigned comment added by 132.45.121.6‎ (talk) 28 October 2016

What you said in words is correct, but your translation of that into maths isn't. The probability of getting k cards right (and hence 25–k cards wrong) is ${\displaystyle ^{25}C_{k}}$ ${\displaystyle (1/4)^{k}(3/4)^{25-k}}$. Wolfram Alpha gives 0.071328... [1]. See Binomial distribution#Probability mass function. —Qwfp (talk) 10:08, 29 October 2016 (UTC)