40. 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

40. 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 difference is greater than 0.05. (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05. (D) No, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is greater than 0.05. (E) No, because the probability of observing a difference at least as large as the sample difference is less than 0.05.