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The blue point corresponds to the fifth smallest test statistic, which is -1.75, versus an expected value of -1.96. The graph suggests that it is unlikely that all the null hypotheses are true, and that most or all instances of a true alternative hypothesis result from deviations in the positive direction.
We do not intend the term "unlikely" to imply an event will not happen. We use "probably" and "likely" to indicate there is a greater than even chance. We use words such as "we cannot dismiss", "we cannot rule out", and "we cannot discount" to reflect an unlikely—or even remote—event whose consequences are such it warrants mentioning.
Probability is the branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. [note 1] [1] [2] This number is often expressed as a percentage (%), ranging from 0% to ...
The law of truly large numbers (a statistical adage), attributed to Persi Diaconis and Frederick Mosteller, states that with a large enough number of independent samples, any highly implausible (i.e. unlikely in any single sample, but with constant probability strictly greater than 0 in any sample) result is likely to be observed. [1]
The suspect is an outlier in at least one way: women and girls are far less likely to carry out school and mass shootings than male suspects. Among the 2,610 incidents since 1966 tracked by the K ...
A likely consequence of Trump’s tariffs (as was the case in his first administration) will be price hikes at various grocery and retail stores. Despite Trump declaring that “the most beautiful ...
Then for a specific value of , the function () = is a likelihood function of : it gives a measure of how "likely" any particular value of is, if we know that has the value . The density function may be a density with respect to counting measure, i.e. a probability mass function .
One person in 10 is likely to have a seizure in their lifetime, according to the Epilepsy Foundation. Here's what seizures are, how they happen, and what treatment you can expect to receive if you ...