Question

A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude?

A. The test was not statistically significant because 2 × 0.21 = 0.42, which is less than 0.5.

B.The test was statistically significant because a p-value of 0.21 is greater than a significance level of 0.05.

C. The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time.

D.The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

E.The test was statistically significant because p = 1 − 0.21 = 0.79, which is greater than a significance level of 0.05.

Answer 1

Since p value = 0.21

Level of significance = 0.05

Since p value is greater than level of significance 0.05 so we fail to reject the null hypothesis.

So answer is

The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.