EXAMPLE 6.19

Test of the mean SATM score: Significance. In Example 6.16, we tested the hypotheses

H₀: μ = 485

H_a: μ > 485

concerning the mean SAT Mathematics score μ of California high school seniors. The test had the P-value P = 0.0125. This result is significant at the α = 0.05 level because 0.0125 ≤ 0.05. It is not significant at the α = 0.01 level, because the P-value is larger than 0.01. See Figure 6.14.