Question

Tyesha found that the z-statistic was 2.1, and the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?

a) The null hypothesis can be rejected.
b) The alternate hypothesis can be rejected.
c) The null hypothesis can be accepted.
d) Neither the null hypothesis nor the alternate hypothesis can be accepted or rejected.

Answer 1

Since Tyesha's z-statistic of 2.1 is greater than the critical z-value of 1.96, the correct conclusion is a) The null hypothesis can be rejected.

Step-by-step explanation:

The question involves analyzing the result of a z-statistic in the context of hypothesis testing within statistics. Tyesha found that the z-statistic was 2.1. With critical z-values of -1.96 and 1.96 for a two-tailed test at an alpha level of 0.05, the conclusion can be drawn based on the z-statistic exceeding the positive critical value.

Since Tyesha's z-statistic of 2.1 is beyond the threshold of 1.96, the null hypothesis can be rejected. This means that there is significant evidence against the null hypothesis, leading to the acceptance of the alternate hypothesis.

Conclusion

Therefore, the valid conclusion based on these results is a) The null hypothesis can be rejected.