Statistical Sciences 2035 Study Guide - Quiz Guide: Standard Deviation, Normal Distribution, Null Hypothesis

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When tossing a coin, the approximation to normality increases with more tossings. This distribution and associated probability levels are based on the assumption that only chance factors are operating, i. e. the coins are symmetrical, uniform and not double-headed. Probability and normal distribution approximate a normal distribution. The level of significance or alpha level is the probability value that defines very unlikely outcomes and is the probability of the study rejecting the null hypothesis. The highest probability generally accepted for statistical significance is p = 0. 05, that is, this result would only occur 5 times in 100 by chance, frequently called the 5% level of significance. There must be other influences that affected the score to be statistically significant. The probability of a value lying beyond +2. 58 z(sd) and 2. 58 z(sd) from the mean is. 0. 01 or 1%. the probability of a value lying beyond +1. 96 z(sd) and. 1. 96 z(sd) from the mean is 0. 05 or 5%.