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? one can reject the null hypothesis. one can reject the alternate hypothesis. one can accept the null hypothesis. one cannot accept or reject the null hypothesis.

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? one can reject the null hypothesis. one can reject the alternate hypothesis. one can accept the null hypothesis. one cannot accept or reject the null hypothesis.

Answer

Answer:

One can reject the null hypothesis.

Explanation:

Step1: Recall hypothesis - testing rule

In a two - tailed z - test, if the absolute value of the calculated z - statistic $|z|$ is greater than the critical z - value, we reject the null hypothesis.

Step2: Calculate the absolute value of the z - statistic

Given $z = 2.1$, then $|z|=|2.1| = 2.1$.

Step3: Compare with critical z - values

The critical z - values are $\pm1.96$. Since $2.1>1.96$, we reject the null hypothesis.