Suppose a researcher conducted a 2-sided hypothesis test for a population mean (significance level .05) and his test statistic was +1.84.(The significance level was .05.) He knows this test statistic is not large enough to reject the null hypothesis, because the test statistic was not greater than 1.96.Then he realizes that if he had done a one-sided test to begin with (alternative hypothesis ">" ) his results would have been statistically significant, because his test statistic was greater than 1.65.At this point, he decides to change to a one-sided hypothesis test, and reports his results as being statistically significant.Is this acceptable? Why or why not.
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