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ch 17* you use software to carry out a test of significance. the progra…

Question

ch 17* you use software to carry out a test of significance. the program tells you that the p - value is p = 0.008. this result is
statistically significant at α = 0.05 but not at α = 0.01.
not statistically significant at either α = 0.05 or α = 0.01.
statistically significant at both α = 0.05 and α = 0.01.
question 17 1 pts
ch 17 in a statistical test of hypotheses, we say the data are statistically significant at level, α, if
the p - value is less than or equal to α.
α = 0.05.
α is small.
the p - value is larger than α.

Explanation:

Brief Explanations
  1. For the first question, the rule is that if the P - value is less than or equal to the significance level $\alpha$, the result is statistically significant. Given $P = 0.008$, since $0.008<0.05$ and $0.008 < 0.01$, the result is significant at both $\alpha=0.05$ and $\alpha = 0.01$.
  2. For the second question, by definition, in a statistical test of hypotheses, data are statistically significant at level $\alpha$ if the P - value is less than or equal to $\alpha$.

Answer:

  1. C. statistically significant at both $\alpha = 0.05$ and $\alpha=0.01$
  2. A. the P - value is less than or equal to $\alpha$