A two-tailed test is conducted at the 0.10 significance level. What is the P-value required to reject the null hypothesis?
A. Greater than or equal to .010
B. Greater than or equal to 0.05
C. Less than or equal to 0.10
D. Less than or equal to 0.05
MY ANSWER IS B ,HELP PLEASEE
Two tailed means that you would have .05 in each tail.
To reject the null you have to be farther out in the tails than the .05 which actually gives you a smaller p-value because you have less area.
Your value needs to be less that .05.
I'm sorry, but your answer is incorrect. Let me help you understand the correct answer.
In a two-tailed test, the significance level is typically divided equally between the two tails (i.e., both sides of the distribution). Since the question mentions that the two-tailed test is conducted at the 0.10 significance level, it means that an alpha level of 0.10 is used for each tail.
To reject the null hypothesis, the p-value must be less than or equal to the significance level. In this case, the significance level is 0.10. Therefore, the correct answer is option C: Less than or equal to 0.10.
This means that if the p-value is less than or equal to 0.10, we can reject the null hypothesis. If the p-value is greater than 0.10, we would fail to reject the null hypothesis.
I hope this clarifies your confusion. Let me know if you have any more questions!
To determine the P-value required to reject the null hypothesis in a two-tailed test at the 0.10 significance level, we need to compare the obtained P-value with the significance level.
In a two-tailed test, the significance level is divided equally between the two tails of the distribution. Since the significance level is 0.10, each tail will have a significance level of 0.10/2 = 0.05.
If the obtained P-value is less than or equal to the significance level (0.05), we reject the null hypothesis. This means that the evidence supports the alternative hypothesis.
Therefore, the correct answer is D. Less than or equal to 0.05.