In a previousyear, 56% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 750 females aged 15 and older and finds that 412 are living alone. Is there sufficient evidence at the =0.01 level of significance to conclude the proportion haschanged?

(Type integers or decimals. Do notround.)

Find the test statistic for this hypothesis test.

z0=

and P value =

(Round to two decimal places asneeded.)