In 2000, 58% of females aged 15 years of age and older lived alone, according to the

Question:

In 2000, 58% of females aged 15 years of age and older lived alone, according to the U.S. Census Bureau. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 years of age and older and ﬁnds that 285 are living alone. Is there sufﬁcient evidence at the α = 0.1 level of signiﬁcance to conclude the proportion has changed since 2000?