Which of the following statements is correct? A)Increasing α will make it more likely that we will reject H₀, ceteris paribus. B)Doubling the sample size roughly doubles the test statistic, ceteris paribus. C)A higher standard deviation would increase the power of a test for a mean. D)The p-value shows the probability that the null hypothesis is false.

Question

Quizplus · Accepted Answer

Increasing the significance level (α) will increase the rejection region, making it more likely to reject the null hypothesis, ceteris paribus.

Answer: B
 Doubling the sample size will increase the test statistic (assuming the same effect size and variance), but not necessarily double it, ceteris paribus.

Answer: False
 A higher standard deviation would decrease the power of a test for a mean. Higher variance means the data points are spread apart, which makes it harder to detect a difference between the sample mean and population mean.

Answer: False
 The p-value measures the evidence against the null hypothesis, not the probability that the null hypothesis is false. It represents the probability of observing a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true.

Which of the Following Statements Is Correct