A null hypothesis of H₀: \beta = 0 can be rejected at the 95% confidence interval if and only if: A) The 95% confidence interval contains zero B) The 95% confidence interval does not contain zero C) The null hypothesis is in the middle of the 95% confidence interval D) The sample size is sufficiently large (n=30)

Question

A null hypothesis of H₀: \beta = 0 can be rejected at the 95% confidence interval if and only if: A) The 95% confidence interval contains zero B) The 95% confidence interval does not contain zero C) The null hypothesis is in the middle of the 95% confidence interval D) The sample size is sufficiently large (n>=30)

Quizplus · Accepted Answer

If the 95% confidence interval does not contain zero, it means that the null hypothesis of \beta=0 can be rejected at the 95% confidence interval. This is because the confidence interval provides a range of plausible values for the parameter, and if the null hypothesis value falls outside of that range, we can conclude that it is unlikely to be the true value.

A Null Hypothesis of H0: \Beta = 0 Can Be

A Null Hypothesis of H₀: \Beta = 0 Can Be