Step 1 :The problem provides us with the following information: the proportion of treated subjects who experienced headaches is less than 0.09 (or 9%), the sample size is 295, the observed proportion of subjects who experienced headaches is 0.0508474576, and the P-value is 0.0093920062. The significance level is 0.05.
Step 2 :We are asked to test the null hypothesis that less than 9% of treated subjects experienced headaches. The alternative hypothesis is that 9% or more of treated subjects experienced headaches.
Step 3 :We compare the P-value to the significance level. If the P-value is less than or equal to the significance level, we reject the null hypothesis. If the P-value is greater than the significance level, we fail to reject the null hypothesis.
Step 4 :In this case, the P-value is 0.0093920062, which is less than the significance level of 0.05. Therefore, we reject the null hypothesis.
Step 5 :By rejecting the null hypothesis, we conclude that there is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
Step 6 :Final Answer: \(\boxed{\text{B. There is sufficient evidence to warrant rejection of the claim that less than 9 \% of treated subjects experienced headaches.}}\)