Interpreting Coin Toss Data. Biased or Not?We have run an experiment in which some good chap has sat down and flipped a coin 100 times. At the end of the 100 flips he has tallied 40 Heads and 60 Tails. Now this seems like something is up with the coin. The question is whether or not this coin is biased.I have already determined that the mean p=1/2 and the standard deviation is 5. If we take the mean as a random variable of a normal distribution about the mean, then the experimental results we obtained are 2sigma from the mean. My first question is what does it mean if the results are outside one sigma?Next I proceeded to find the probability that the p-value of the getting a heads was instead 4/10. I used the function 100C40 *p^40 *(1-p)^60 and integrated this (dp) from 0.35 to 0.45. My result was 0.006. Now does this mean that the probability of getting a p is between 0.35 and 0.45 is 0.006 ? But I feel in this method I should be comparing this p against something.I suppose my problem really lies in interpreting the results and their meaning.

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Zayden Wiley · Accepted Answer

p-value: The probability of obtaining the test statistic, if the null hypothesis is true.Unfortunately, there is no standardized p-value level to reject a null hypothesis. Depending on which field you are in, the rejection levels can be p &amp;lt; 0.05 (5% significance level) to p &amp;lt; 0.025 (2.5% significance level). Or even P &amp;lt; 0.10 (10%).Basically, if you reject because p &amp;lt; 0.10, you are saying that if the null hypothesis is true, the probability of the data occurring is less than 10%. You feel that the null is unlikely to be true.This is of course subjective.

rigliztetbf · Accepted Answer

Note that there are no &quot;acceptance&quot; levels. While we may reject or not reject the null hypothesis.We do not say we accept it.

Interpreting Coin Toss Data. Biased or Not? We have run an experiment in which some good chap has s

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