Question

If, in a​ (two-tail) hypothesis​ test, the​ p-value is 0.0207​, what is your statistical decision if you test the null hypothesis at the 0.05 level of​ significance? Question content area bottom Part 1 Choose the correct answer​ below?

A. Since the​ p-value is less than α, do not reject H0.
B. Since the​ p-value is greater than α, reject H0
. C. Since the​ p-value is less than α, reject H0.
D. Since the​ p-value is greater than α, do not

Answer 1

If the p-value is less than the significance level (α = 0.05), the statistical decision is to reject the null hypothesis.

Step-by-step explanation:

The null hypothesis (H0) is the assumption that there is no significant difference between the observed data and the expected data. In a two-tail hypothesis test, the p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. If the p-value is less than the significance level (α = 0.05), it means that the observed test statistic is unlikely to happen if the null hypothesis is true. Therefore, the statistical decision is to reject the null hypothesis.