Question

Which of the following p-values will lead us to reject the null hypothesis if the level of significance α = 0.05? A 0.025 B 0.2 C 0.1 D 0.05

Answer 1

Out of the given p-values, 0.025 is the only one that is less than the significance level of 0.05, leading to a decision to reject the null hypothesis.

Step-by-step explanation:

The question inquires about which p-value will lead to the rejection of the null hypothesis at a significance level (alpha, α) of 0.05. A comparison of the given p-values with the significance level reveals that:

• A p-value of 0.025 is less than the significance level of 0.05, therefore, one would reject the null hypothesis.
• P-values of 0.2 and 0.1 are greater than the significance level of 0.05, hence, one would not reject the null hypothesis.
• A p-value equal to the significance level (0.05) typically means we would not reject the null hypothesis, albeit this can depend on whether one is following a strict cutoff or is using a 'less than or equal to' criterion.

Therefore, the p-value that leads to the rejection of the null hypothesis at the 5 percent significance level is 0.025.