Textbook Assignment for Week 10 2. Statistical Literacy: What do we mean when we say a test is significant? Does this really mean the result are important? 4. Critical Thinking All other conditions being equal, does a z or t value with larger magnitude have a larger or smaller corresponding p-value? Answer: Larger Z or t statistic indicate smaller p-value in both sided test . I f it is one tailed test then it depends on the situation Before you solve each problem below, first categorize it by answering the following question: Are we testing a single mean or a single proportion? Assume underlying population distributions are mound-shaped and symmetrical for problems with small samples that involve testing a mean. Then provide the following information for problem 5-12: a) What is the level of significance? State the null and alternate hypotheses. b) Check requirements: What sampling distribution will you use? What assumptions are you making? What is the value of the sample statistic? c) Find (or) estimate the P-value. Sketch the sampling distribution and show the area corresponding to the P-value. d) Based on your answers in parts (a)-(c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? e) Interpret your conclusion in the contest of the application. Note: For degrees of freedom d. f. not in the student?s t table, use the closest d. f. that is smaller. In some situations, this choice of d. f. may increase the P-value by a small amount and therefore produce a slightly more ?conservative? answer. Answers may vary due to rounding: 6. Student Life: Employment 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. 8. Matches: Number per Box The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with 0 = 9. A random sample of 94 Nero matchboxes shows the average number of matches per box to by 43.1. Using a 1% level of significance, can you say that the average number of matches per box is more than 40.
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