1. You wish to test the following claim (Ha) at a significancelevel of ?=0.05.
Ho:p1=p2
Ha:p1>p2
You obtain 83% successes in a sample of size n1=305 from the firstpopulation. You obtain 78.7% successes in a sample of size n2=315from the second population. For this test, you should NOT use thecontinuity correction, and you should use the normal distributionas an approximation for the binomial distribution.
What is the p-value for this sample? (Report answer accurate tofour decimal places.)
p-value =
2. You wish to test the following claim (Ha) at asignificance level of ?=0.002.
Ho:?1=?2
Ha:?1??2
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 accurateto three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use thedegrees of freedom reported from the technology you are using.(Report answer accurate to four decimal places.)
p-value =
