Question

For each of the following p-values, state whether you would "reject" or " fail to reject" H0 for the given a level.

1) P-value = 0.234 when a = 0.05
2) P-value = 0.024 when a = 0.05
3) P-value = 0.024 when a = 0.01
4) P-value = 0.024 when a = 0.10​

Answer 1

To determine whether to reject or fail to reject the null hypothesis, compare the p-value to the significance level (α). If the p-value is less than α, reject the null hypothesis, otherwise, fail to reject it.

Step-by-step explanation:

The question involves making decisions about a null hypothesis (H0) based on the p-value and significance level (α). For each scenario, we compare the p-value to α and decide whether to reject or fail to reject the null hypothesis.

1. For a p-value of 0.234 when α = 0.05, since the p-value is greater than α, the decision is to fail to reject the null hypothesis.
2. With a p-value of 0.024 when α = 0.05, the p-value is less than α, leading to the decision to reject the null hypothesis.
3. When the p-value is 0.024 and α = 0.01, the p-value is greater than α, thus we fail to reject the null hypothesis.
4. Lastly, a p-value of 0.024 with an α of 0.10 means that the p-value is less than α, and we should reject the null hypothesis.

Answer 2

Step-by-step explanation:

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