tyesha found that the z - statistic was 2.1 and that the critical z - values were - 1.96 and 1.96. which of…
tyesha found that the z - statistic was 2.1 and that the critical z - values were - 1.96 and 1.96. which of the following is a valid conclusion based on these results?\none can reject the null hypothesis.\none can reject the alternate hypothesis.\none can accept the null hypothesis.\none cannot accept or reject the null hypothesis.
Answer
Explanation:
Step1: Recall hypothesis - testing rule
In a two - tailed z - test, if the absolute value of the z - statistic $|z|$ is greater than the critical z - value, we reject the null hypothesis.
Step2: Compare z - statistic and critical z - values
Given $z = 2.1$, and critical z - values are $z_{critical}=- 1.96$ and $z_{critical}=1.96$. Calculate $|z|=|2.1| = 2.1$. Since $2.1>1.96$, we reject the null hypothesis.
Answer:
One can reject the null hypothesis.