1. You wish to test the following claim (Ha) at a significance level of =0.02 Ho:p1p2 Ha:p1>p2 You obtain 403 successes in a sample of size n1=459 from the first population. You obtain 368 successes in a sample of size n2=470 from the second population.

Find critical value and test statistic to 3 decimals.

2. You wish to test the following claim (Ha) at a significance level of =0.10 Ho:p1=p2 Ha:p1p2 You obtain a sample from the first population with 115 successes and 98 failures. You obtain a sample from the second population with 398 successes and 401 failures.

Find test statistic and pvalue to 3 decimals

3. You wish to test the following claim (Ha) at a significance level of =0.005 Ho:p1p2 Ha:p1>p2 You obtain a sample from the first population with 147 successes and 450 failures. You obtain a sample from the second population with 68 successes and 271 failures.

Find critical value and test statistic to 3 decimals