When carrying out a test of H₀: p = .4 versus H_a: p 2 $\alpha$

Question

When carrying out a test of H₀: p = .4 versus H_a: p < .4 and z is the calculated test statistic,we reject H₀ at level of significance $\alpha$When: A)z < - $z _ { \alpha / 2 }$ B)z < - $z _ { \alpha }$ C)z > $z _ { \alpha }$ D)p-value > $\alpha$ E)p-value > 2 $\alpha$

Quizplus · Accepted Answer

For a one-tailed test where the alternative hypothesis is $p < .4$, we reject the null hypothesis if the test statistic $z$ is less than the critical value $-z_{\alpha}$, which corresponds to the significance level $\alpha$ on the left tail of the standard normal distribution.

When Carrying Out a Test of H0: P = α\alphaα When: A)z < -

When Carrying Out a Test of H₀: P = $\alpha$ When:
A)z < -