17. The nicotine content in cigarettes of a certain brand is normally distributed, with mean (in milligrams) and standard deviation $\sigma = 0.1$. The brand advertises that the mean nicotine content of its cigarettes is 1.5, but measurements on a random sample of 100 cigarettes of this brand give a mean of $\overline{x} = 1.53$. Is this evidence that the mean nicotine content is actually higher than advertised? To answer this, test the hypotheses

$H_0: \mu = 1.5, H_a: \mu > 1.5$ at the 5% significance level. You conclude
(A) That \(H_0\) should be rejected.
(B) That \(H_0\) should not be rejected.
(C) That \(H_{a}\) should be rejected.
(D) There is a \(5\%\) chance that the null hypothesis is true.
(E) There is a \(5\%\) chance that the alternative hypothesis is true.