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Accepting null/alternate hypnothesis at various significance levels

  1. Feb 9, 2012 #1
    1. The problem statement, all variables and given/known data
    Given that a 95% confidence interval (or 0.05 significance level, α=0.05) for population proportion p is (0.11, 0.17), which statement is true regarding the hypotheses:
    (null hypothesis) H0: p = 0.15
    (alternate hypothesis) H1: p ≠ 0.15

    a) Reject H0 at α = 0.05
    b) Reject H0 at α = 0.10
    c) Accept H0 at α = 0.05
    d) Accept H0 at α = 0.10

    2. Relevant equations

    3. The attempt at a solution
    Since it's a two-sided test, each side will have α = 0.025 at the 95% significance level. But p = 0.15 is within both α = 0.05 and α = 0.10 isn't it? So wouldn't H0 be accepted at both 0.05 and 0.10?
    Kind of lost here. =/
  2. jcsd
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