A 95% confidence interval can be used to reject the null hypothesis of a two-sided test at the 5% significance level if and only if
A)a 95% confidence interval includes the hypothesized value of the parameter.
B)a 95% confidence interval does not include the hypothesized value of the parameter.
C)the null hypothesis is less than 0.05.
D)the null hypotheses falls in the rejection region.

Question

Quizplus · Accepted Answer

A 95% confidence interval for a parameter estimates the range of values that is likely to include the true parameter value with 95% confidence. If this interval does not include the hypothesized value of the parameter (the value under the null hypothesis), it suggests that the true parameter value is significantly different from the hypothesized value at the 5% significance level, leading to rejection of the null hypothesis.

A 95% Confidence Interval Can Be Used to Reject the Null