A new medication, PainAway, is being tested for its side effects. In a clinical study, $38$ out of $190$ patients treated with PainAway reported headaches, while $7$ out of $55$ patients in the placebo group reported headaches. At the $0.05$ significance level, use an appropriate confidence interval to identify if there is evidence of a difference in the rate of headaches between the PainAway and placebo groups.

The confidence interval of suggests that there is sufficient evidence to conclude that there is a significant difference in the rate of headaches between the PainAway and placebo groups.

The confidence interval of suggests that there is insufficient evidence to conclude that there is a significant difference in the rate of headaches between the PainAway and placebo groups.

The confidence interval of suggests the rate of headaches in the PainAway group is larger than that of the placebo group.

The confidence interval of suggests the rate of headaches in the PainAway group is smaller than that of the placebo group.