Questions chapter 2 Flashcards
Considere la siguiente afirmación
A 95% confidence interval has a 95% probability of containing the population parameter value
Indique si es verdadera o falsa y justifique su respuesta
‘You can’t make probability statements about confidence intervals,’ If you said that a 95% confidence interval has a 95% probability of containing the population parameter, then you are wrong. It is a common mistake. The 95% reflects a long-run probability. It means that if you take repeated samples and construct confidence intervals, then 95% of them will contain the population value. That is not the same as a particular confidence interval for a specific sample having a 95% probability of containing the value. In fact, for a specific confidence interval, the probability that it contains the population value is either 0 (it does not contain it) or 1 (it does contain it). You have no way of knowing which it is.’ ‘It is important if you want to control error,’ ‘If you assume that the confidence interval contains the population value then you will be wrong only 5% of the time if you use a 95% confidence interval.’
