Test statistic and p-value

Question

You wish to test the following claim (HaHa) at a significance level of α=0.10

      Ho:p1=p2

      Ha:p1<p2

You obtain 42.8% successes in a sample of size n1=360 from the first population. You obtain 55.3% successes in a sample of size n2=657 from the second population. Round values for X to the nearest whole number.

What is the test statistic for this sample? (Report answer accurate to three decimal places.) 

test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.) 

p-value = 

Answer 1

sample proportion 1 phat 1 = 0.428

sample proportion 2 phat 2 = 0.553

pooled proportion (p) is weighted average of sample proportions =

(360 * 0.428 + 657 * 0.553)/(360 + 657) = 0.509

z = (0.428-0.553)/sqrt(0.509 * 0.491 * (1/360 + 1/657)) = - 3.813

since this is a left-sided test, p-value is P(z < -3.813) ~ 0