SOLUTION: If a 90% CI for the mean is (75.3 to 80.9), we would reject the null hypothesis that the mean = 70 in favor of the hypothesis that the mean is not equal to 70 at a significance lev

Question 1021082: If a 90% CI for the mean is (75.3 to 80.9), we would reject the null hypothesis that the mean = 70 in favor of the hypothesis that the mean is not equal to 70 at a significance level of 0.05.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
We are 90% confident that the true value, which we do not know, is in an interval the lower limit of which does not contain the number 70. The probabilistic way we could say this is we sampled 100 times and constructed 100 confidence intervals, 90 of them would not contain the number 70. We don't know which 90, and therefore the one sample we had, which did not contain the number 70, allows us to be 90% confident in our statement.
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