Which of the Following Statements Is Correct

question 144

Multiple Choice

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.

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Definitions:

Confidence Interval

A range of values, derived from statistical analysis, that is likely to contain the value of an unknown parameter with a specified level of confidence.

Null Hypothesis

A theory that assumes there is no statistical significance in a set of given observations, with the aim of testing the validity of this assumption.

Student-t

A probability distribution used in statistical science, particularly in scenarios with small sample sizes or unknown variances.

F-distribution

A probability distribution that arises in the testing of whether two sample variances are equal, used in ANOVA and other tests involving multiple variances.