We have created a 95% confidence interval for µ with the result (10, 15). What
Conclusion will we make if we test $$H _ { 0 } : \mu = 16 \text { versus } H _ { A } : \mu \neq 16 \text { at } \alpha = .05 ?$$
A) Reject the null hypothesis
B) Accept the null hypothesis
C) Fail to reject the null hypothesis.
D) Reject the alternative hypothesis.
E) No decision can made from the information given.

Question

Quizplus · Accepted Answer

The 95% confidence interval (10, 15) does not include the value 16, which means that 16 is not a plausible value for µ at the 5% significance level. Therefore, we reject the null hypothesis.

We Have Created a 95% Confidence Interval for µ with the Result