The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ? and standard deviation ? =0.1. the brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. to explore this, you test the hypotheses h0: ? =1.5, ha: ? > 1.5 and you obtain a p-value of 0.052. which of the following is true?

(a) at the ? =0.05 significance level, you have proven that h0 is true.
(b) this should be viewed as a pilot study and the data suggests that further investigation of the hypotheses will not be fruitful at the ? =0.05significance level.
(c) there is some evidence against h0, and a study using a larger sample size may be worthwhile.
(d) you have failed to obtain any evidence for ha.