Question

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.

      Ho:p1=p2Ho:p1=p2
      Ha:p1≠p2Ha:p1≠p2

You obtain 211 successes in a sample of size n1=471n1=471 from the first population. You obtain 205 successes in a sample of size n2=475n2=475 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

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

The statistical software output for this problem is :

Test statistics = 0.508

P-value = 0.6113