A survey was conducted in a large city to investigate public opinion on banning the use of trans fats in restaurant cooking. A random sample of 230 city residents with school-age children was selected, and another random sample of 341 city residents without school- age children was also selected. Of those with school-age children, 94 opposed the banning of trans fats, and of those without school-age children, 147 opposed the banning of trans fats. An appropriate hypothesis test was conducted to investigate whether there was a difference between the two groups of residents in their opposition to the banning of trans fats. Is there convincing statistical evidence of a difference between the two population proportions at the significance level of 0.05? (A) Yes, because the sample proportions are different. (B) Yes, because the probability of observing a difference at least as large as the sample (C) Yes, because the probability of observing a difference at least as large as the sample (D) No, because the probability of observing a difference at least as large as the sample (E) No, because the probability of observing a difference at least as large as the sample difference is greater than 0.05 difference, if the two population proportions are the same, is less than 0.05 difference, if the two population proportions are the same, is greater than 0.05 difference is less than 0.05.