Question

If O lies in the 2-sided CI for V1 - 42, then we would Ho in a test of hypothesis where Ho: 41 - U2 = 0.

please circle final answers and show all work. Drop down options are "fail to reject" and "reject". Thank you!

Answer 1

Solution:

If the test is two tailed then the null and alternative hypotheses is:

$H0:\mu_{1}-\mu_{2}=0$

$Ha:\mu_{1}-\mu_{2}\neq 0$

If the confidence interval does not include 0 then the difference is statistically significant because the range is excluding no difference.

Therefore, if 0 lies in confidence interval then the difference is not statistically significant. In this case we fail to reject H0.

Hence, Fail to reject H0 in a test of hypothesis where $H0:\mu_{1}-\mu_{2}=0$

Done