If z = 1.67, H0 can be rejected at ______________.
α = .01 and α = .05
α = .05 and α = .10
α = .10, but not at α = .05
α = .05, but not at α = .10
Given that, z test statistic is, z = 1.67
Case I) For one-tailed test (right-tailed test)
p-value= P(Z > 1.67)=1 - P(Z < 1.67)=1 - 0.9525 = 0.0475
=> p-value = 0.0475
Since, p-value = 0.0475 is less than α = 0.05 and α = 0.10 but greater than α = 0.01.
So, we reject H0 at α = 0.05 and α = 0.10 but not reject at α = 0.01
Case 2) For two-tailed test
p-value= 2*P(Z > 1.67)= 2 * 0.0475 = 0.095
=> p-value = 0.095
Since, p-value = 0.095 is greater than α = 0.01 and α = 0.05 but less than α = 0.10
So, we reject H0 at α = 0.10 but not reject at α = 0.01 and α = 0.05
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