Questions:
1. What do we mean when we say a test is significant? Does this necessarily mean the results are important?
2. All other conditions being equal, does a z ort value with larger magnitude have a larger or smaller corresponding P-value?
Before you solve each problem below, first categorize it by answering the following question: Are we testing a single mean or a single proportion?
3. Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 81 students shows that 39 have jobs. Do the data indicate that more than 35% of the students have jobs? (Use a 5% level of significance.)
4. The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with ó =9. A random sample of 94 Nero matchboxes shows the average number of matches per box to be 43.1. Using 1% level of significance, can you say that the average number of matches per box is more than 40?