Question

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.

Test H₀ : p₁ = p₂ vs Hₐ : p₁

from the randomization distribution is 0.05 Find the value of the standardized z-test statistic.

Answer 1

To find the standardized z-test statistic, use the formula for the standard error of the difference in sample means and compare it to the critical value for a certain level of significance. In this case, since the test statistic is less than the critical value, the null hypothesis is rejected.

Step-by-step explanation:

To find the standardized z-test statistic, we need to use the formula for the standard error of the difference in sample means: SE = sqrt(p*(1-p)*(1/n₁ + 1/n₂))

Given that the randomization distribution is 0.05, we can find the critical value for a = 0.05 in the normal table which is -1.645. Since the calculated test statistic for the p-value is -2.08, which is less than -1.645, this demonstrates that a > p-value. Therefore, we reject the null hypothesis.