It has been noted that the average age of first-time mothers is increasing. This is because more women are receiving formal education and are entering the workforce. They marry and have children at a later stage in life. Though older mothers might have a healthy pregnancy and childbirth, they do have an increased risk of ongoing health conditions, such as diabetes and high blood pressure. A report recorded data on women with at least one birth before or after their 30th birthday and if they had diabetes or not. It shows that 70 out of a sample of 350 women who first gave birth at the age of more than 30 years had diabetes, while 84 out of 560 women aged 30 or less, who gave birth for the first time had diabetes. Based on the report, can we conclude that the diabetes rate for women aged more than 30 years is higher than the rate for women aged 30 or less at their first childbirth? Use a 5% of significance level to conduct an appropriate hypothesis test.