Download Homework #5 - Hypothesis Testing for a Population Proportion | STAT 428 and more Assignments Statistics in PDF only on Docsity! Statistics 428: Homework #5 Chapter 8 – Hypothesis Testing for a Population Proportion Note: Remember that we emphasizing the p-value method and not fixed-level (rejection region) testing. Note: A complete hypothesis test includes all 5 steps discussed in class (statement of hypotheses, selection of test statistic, calculation of observed test statistic, determination of p-value or rejection region, and conclusions). In addition, remember that you need to check to be sure your assumptions about the distribution of the test statistic are justified and interpret conclusions in the context of the problem. Required problems: To be turned in for credit: 8.38: “If is known that roughly 2/3 of all human beings…” (page 310) [note: you may want to do part (b) first] 8.40: “The article ‘Statistical Evidence of Discrimination’…” (page 310) 8.44: “Scientists think that robots will play a crucial role…” (page 311) 8.52: “The article ‘Analysis of Reserve and Regular Bottlings…’” (page 317) Modified 8.42: Because of bulk discounts, a tennis school must choose one type of string (synthetic gut or nylon) to order for the entire school. They plan to order the type of string that most of their intermediate students prefer. Each of a group of 20 intermediate tennis players is given two rackets, one having nylon strings and the other synthetic gut strings. After several weeks of playing with the two rackets, each player was asked to state a preference for one of the two types of strings. 12 stated that they preferred the gut string. At 0.1 significance, does this data support the hypothesis that more of the school’s students prefer gut strings? Remember that you must show all work when answering the questions. If the answer to the question is a calculation, be sure to write down the formula you used or describe how you made the calculation. Suggested Problems: The following suggested problems do not need to be turned in: 8.37: “A random sample of 150 recent donations at a certain blood bank…” (page 310) 8.54a: “Because of variability in the manufacturing process…” (page 317) 8.55: “Many consumers are turning to generics as a way of reducing…” (page 318) 8.76: “To test the ability of auto mechanics to identify simple…” (page 323)
