If a twosided hypothesis test of the mean rejects the null h

If a two-sided hypothesis test of the mean rejects the null hypothesis at the 10% level, which of the following statements must be true of a 90% confidence interval calculated on the same data?

(a) The confidence interval will contain the hypothesized value of the mean.

(b) The confidence interval will not contain the hypothesized value of the

mean.

(c) The confidence interval will only contain values within 10% of the

hypothesized mean.

(d) The confidence interval will only contain values larger than the

hypothesized mean.

(e) The confidence interval will only contain values smaller than the

hypothesized mean.

Solution

(b) The confidence interval will not contain the hypothesized value of the

mean.