Question

null hypothesis is rejected with a level of significance of 0.05. is it also rejected with a level of plain. hoose the correct answer below. a. yes, the claim would be rejected because the p - value would be greater than 0.10. b. no, the claim would not be rejected because the p - value would be less than 0.10. c. yes, the claim would be rejected because the p - value would be less than 0.10. d. no, the claim would not be rejected because the p - value would be greater than 0.10.

Explanation:

In hypothesis testing, if the null hypothesis is rejected at a significance level of \( \alpha = 0.05 \), it means that the p - value is less than \( 0.05 \). Since \( 0.05<0.10 \), if the p - value is less than \( 0.05 \), it is also less than \( 0.10 \). When the p - value is less than the significance level \( \alpha \), we reject the null hypothesis.

Answer:

A. Yes, the claim would be rejected because the P - value would be less than \( 0.10 \).