HYPOTHESIS DISCUSSION ON THE EXPERIMENTS OF A LARGE SAMPLE OF TOSSING OF THE COIN

Abstract

A coin is tossed and the outcome experiment worked for the existence of the biased condition or unbiased condition. There are possible different conditions to check for biased or unbiased one, with a testing of chi-square distribution. For the first experiment, a coin is tossed 10,000 times and it is evaluated whether a coin is biased or not. For the second experiment, a biased coin condition is given and to check the range of the standard error of the observed outcomes. For the last experiment, total number of tosses the coin is less for two different conditions, for an un-weighted coin probability information from both the sets of data. The hypothesis testing on these experiments allow to get the relevant condition outcomes, with the information of the sampling distributions. These three experiments have a difference to check for the biased or unbiased condition outcomes, to check a particular range of the outcomes with the hypothesis testing and also have the condition of the exact sampling distributions. These are different samples of the tossing of the coin with different experiments, to check the conditions theoretically, to get the standard errors in different conditions, and a change in the data sets distribution, that allows to estimate the probability distribution with a random data variations.