If a test is statistically significant at the alpha 005 lev

If a test is statistically significant at the alpha = 0.05 level, then we know it is also statistically significant at the alpha = 0.01 level. If a test is statistically significant at the alpha = 0.05 level, then we know it is also statistically significant at the alpha = 0.10 level.

Solution

a)

FALSE. Consider P = 0.04. It is not significant at 0.01 level but significant at 0.05.

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b)

TRUE. Any value less than 0.05 is less than 0.10.