I'm stuck with the data points for p...

The third statistical question is proving that the average hospital in the United States averages more than 700 births per year.Using the hospital database as the sample, we test the hypothesis with the alpha of 0.01.Here's what I have so far. Can you help me solve the rest?

H <_700 births per year is the null hypothesis

H > 700 births per year is the alternate hypothesis

Using the Z statistic = p-p0 / sqrt {(p0(1-p0)/n}

With a type I error rate. Alpha is 0.01 for this problem.

Based on the data, the total # of births is 174809, and the mean is 874.04.