Question

When testing hypotheses, H 0: α = .05 then,

a. It must be rejected at α = .10

b. It must be rejected at α = .01

c. It could not be rejected at α = .10

µ

=

µ 0

vs. H a :

µ̸

=

µ 0

if H 0 is rejected at

d. The level of significance is 1 − .05 = .95.

Answer 1

Given:

Hypothesis test:

Ho : µ = 0

Ha : µ 0

Significance level, = 0.05

If Ho is rejected at = 0.05, it must be rejected at α = .10

Explanation :

If P-value = 0.0431 and significance level, = 0.01

Since P-value > = 0.01 , we fail to reject null hypothesis Ho.

If P-value = 0.0431 and significance level, = 0.10

Since P-value < = 0.10, we must reject null hypothesis Ho

So If Ho is rejected at = 0.05 then it must be rejected at α = 0.10

So correct answer is option A