Question

For a prespecified 5% significance level, the p-value of the test the researcher wants to conduct is:

a) 0.01
b) 0.05
c) 0.10
d) 0.20

Answer 1

The p-value for the test at a 5% significance level is b) 0.05.

Step-by-step explanation:

The p-value represents the probability of obtaining results at least as extreme as the observed results, assuming the null hypothesis is true. In hypothesis testing, a significance level (α) is the probability of rejecting a true null hypothesis. A commonly used significance level is 5% (α = 0.05).

Therefore, for a 5% significance level, the p-value threshold for rejecting the null hypothesis is 0.05. This means that if the p-value is less than 0.05, we reject the null hypothesis and conclude that the observed results are statistically significant. Conversely, if the p-value is greater than 0.05, we fail to reject the null hypothesis and cannot conclude that the observed results are statistically significant.

In this case, the provided information only mentions the 5% significance level, not the actual p-value. However, we can logically conclude that the p-value must be less than or equal to 0.05 for the test to be statistically significant at a 5% significance level. Therefore, the most likely and relevant answer is b) 0.05.

Option B is answer.