A new medication is being tested for its side effects. In a clinical study, $38$ out of $190$ patients treated with the new medication reported headaches, while $7$ out of $55$ patients in the placebo group reported headaches. At the $0.05$ significance level, use a hypothesis test to test if there is evidence of a difference in the rate of headaches between the new medication and placebo groups. Does headache appear to be a side effect of the new medication?

There is insufficient evidence to conclude a significant difference in the rate of headaches between the new medication and placebo groups. Thus, headache does not appear to be a statistically significant side effect of the new medication.

There is sufficient evidence to conclude a significant difference in the rate of headaches between the new medication and placebo groups. Thus, headache appears to be a statistically significant side effect of the new medication.

There is insufficient evidence to conclude that the rate of headaches for the new medication group is larger than that of the placebo group. Thus, headache does not appear to be a statistically significant side effect of the new medication.

There is sufficient evidence to conclude that the rate of headaches for the new medication group is larger than that of the placebo group. Thus, headache appears to be a statistically significant side effect of the new medication.