In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and...

In a previous​ year, 54​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the α=0.05 level of significance to conclude the proportion has​changed?

Extracted text: In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the a = 0.05 level of significance to conclude the proportion has changed? Because npo (1- Po) = |0.7| < 10,="" the="" sample="" size="" is="" less="" than="" 5%="" of="" the="" population="" size,="" and="" the="" sample="" can="" be="" reasonably="" assumed="" to="" be="" random,="" %3d="" the="" requirements="" for="" testing="" the="" hypothesis="" are="" satisfied.="" (round="" to="" one="" decimal="" place="" as="">