Question

1. You wish to test the following claim (Ha) at a significance level of α=0.05.

      Ho:p1=p2
      Ha:p1>p2

You obtain 83% successes in a sample of size n1=305 from the first population. You obtain 78.7% successes in a sample of size n2=315 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 p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

2.  You wish to test the following claim (Ha) at a significance level of α=0.002.

      Ho:μ1=μ2
      Ha:μ1≠μ2

You obtain the following two samples of data.

Sample #1	Sample #2
75 94.8 76.3 67 84.8 82.1 80.4 97.2 94.1 65.5 38.9 50.1 110.8 82.1 76.3 65.5 59.4 83.9 95.6 76.7 89.2 80.4 54.1 67 79.6 85.2 92.1 81.3 93.4 69 84.8 77.1 70.8 55.1 63.9 72.5 71.7 71.7 87.7 83.4 97.2 100.1 80.4 71.7 77.1 90.3 75.9 71.7	76.9 62.4 71.3 69.5 69.5 69.9 67.1 74.6 65 69.9 83 64.6 74.2 70.5 73.1 81.4 73.2 68.3 74.8 67.7 62.7 63 67.9 71.4 69.8 65.4 71.6 60 69.4 68.2 70.7 63.5 76.3 66.3 72.7 67.3 67.7 64.8 65.9

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? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)
p-value =

Answer 1