Question

If the p-value for a hypothesis test is 0.07 and the chosen level of significance is α = 0.05, then the correct conclusion is to ____________________. A. reject the null hypothesis B. not reject the null hypothesis if σ = 10 C. reject the null hypothesis if σ = 10 D. reject the null hypothesis

Answer 1

The correct conclusion is to not reject the null hypothesis.

Step-by-step explanation:

If the p-value for a hypothesis test is 0.07 and the chosen level of significance is α = 0.05, then the correct conclusion is to not reject the null hypothesis.

When conducting a hypothesis test, the p-value represents the probability of obtaining the observed data or more extreme values assuming the null hypothesis is true. If the p-value is greater than the significance level (α), which is the threshold for rejecting the null hypothesis, we fail to reject the null hypothesis.

In this case, the p-value of 0.07 is greater than the significance level of 0.05. Therefore, we cannot reject the null hypothesis.

Answer 2

The answer is "failed to reject the null hypothesis" (it is not in the options available).

Step-by-step explanation:

If the P-value is bigger than the significance level, then the effect is statistically not significant. There is no enough evidence to reject the null hypothesis.

The answer is "failed to reject the null hypothesis" (it is not in the options available).