On the basis of a random sample the null hypothesis H0 0 is tested against the alternative H1 0 and the null hypothesis is not rejected at the 5 significance level a Does this necessarily imply that 0 is contained in the 95 confidence interval for m b Does this necessarily imply that 0 is contained in the 90 confidence interval for m if the observed sample mean is larger than 0

Question: On the basis of a random sample the null hypothesis H0: = 0 is tested against the alternative H1: > 0 and the

On the basis of a random sample the null hypothesis
H0: μ = μ0
is tested against the alternative
H1: μ > μ0
and the null hypothesis is not rejected at the 5% significance level.
a. Does this necessarily imply that μ0 is contained in the 95% confidence interval for m?
b. Does this necessarily imply that μ0 is contained in the 90% confidence interval for m if the observed sample mean is larger than μ0 ?

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