2kids are always lying, the other 3 are always telling the truth. julia: " jack is only a liar, if john is telling the truth." jack: "if joey doesn’t lie, then either julia or john do." joey: " jane lies, as does julia or jack." john: "if jack is telling the truth, then julia or joey do as well." jane: "if you round up julia, joey and john, you will have at least one liar." the liars

On a certain portion of an experiment, a statistical test result yielded a p-value of 0.21. what can you conclude? 2(0.21) = 0.42 < 0.5; the test is not statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant. 0.21 > 0.05; the test is statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time, so the test is not statistically significant. p = 1 - 0.21 = 0.79 > 0.05; the test is statistically significant.