It has been reported that 26% of children in the U.S. live in homes where there is a single parent. A school administrator cliamed that less than 26% of children in her school district lived in homes with a single parent. In a sample of 225 children, 54 of them lived in a home with a single parent. (a) Test the administrator's claim using a 5% level of significance using the classical approach and p-value approach. (b) construct a 90% confidence interval for the population proporation p of children living in home with a single parent. Does your result agree with your conclusion in part (a)?