(17.33) A randomized comparative experiment examined the effect of a technique for improving one’s ability to focus one’s attention on performance of undergraduate students on the Verbal portion of the Graduate Record Exam (GRE). The researchers found a statistically significant improvement in performance on the Verbal GRE (P = 0.05). When asked to explain the meaning of (P =0.05) a student says, “This means there is only probability equal to 0.05 that the null hypothesis is true.” Explain what P= 0.05 really means in a way that makes it clear that the student's explanation is wrong. P = 0.05 means that the outcome is at least 5% higher among one group than among the other group. P = 0.05 means that there is a probability of 0.05 that the null hypothesis is false. P = 0.05 means that the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed, is 0.05. P = 0.05 means that the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed, is less than 0.05.