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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.
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.
For example, someone in poor health is unlikely to have a job as manual laborer, so if a study is conducted on manual laborers, the health of the general population will likely be overestimated. Berkson's fallacy , when the study population is selected from a hospital and so is less healthy than the general population.
Get ready for all of today's NYT 'Connections’ hints and answers for #268 on Tuesday, March 5, 2024. Today's NYT Connections puzzle for ... UNLIKELY, AS CHANCES: OUTSIDE, REMOTE, SLIM, SMALL 4.
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]
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Considering more male or more female births as equally likely, the probability of the observed outcome is 0.5 82, or about 1 in 4,836,000,000,000,000,000,000,000; in modern terms, this is the p-value. Arbuthnot concluded that this is too small to be due to chance and must instead be due to divine providence: "From whence it follows, that it is ...
More and more people are talking about polyphasic sleep patterns. But a sleep doctor explains why polyphasic sleep is so unhealthy for humans.