Give an example of a function from the set of all integers to the set of all positive even integers that is onto, but not one-to-one. For the case of not one-to-one, give a counterexample. For the case of onto state briefly why you think the function is onto. You do not need to create a formal 2-column statement/justification proof that the function is onto. Piecewise functions are acceptable if properly defined.

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.