Write the null and alternative hypotheses you would use to test each situation. a) In the 1950s, only about 40% of high school graduates went on to college. Has the percentage changed? b) Twenty percent of cars of a certain model have needed costly transmission work after being driven between 50,000 and 100,000 miles. The manufacturer hopes that a redesign of a transmission component has solved this problem. c) We field-test a new-flavor soft drink, planning to market it only if we are sure that over 60% of the people like the flavor.

Chapter 11 2. Directions: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. A random sample of 200 students was selected from a large college in the United States. Each selected student was asked to give his or her opinion about the following statement. "The most important quality of a person who aspires to be the President of the United States is a knowledge of foreign affairs." Each response was recorded in one of five categories. The gender of each selected student was noted. The data are summarized in the table below. Page 2 of 4 Response Category Strongly Somewhat Disagree Male 10 Disagree 15 Neither Agree nor Disagree Somewhat Strongly Agree Agree 15 25 25 Female 20 25 25 25 15 Is there sufficient evidence to indicate that the response is dependent on gender? Provide statistical evidence to support your conclusion. AP Statistics

The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The file LateFlights contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Delta and Southwest. Click on the datafile logo to reference the data. DATA file Southwest 120 29 67 89 115 a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. 141 = population mean minutes late for delayed Delta flights 142 = population mean minutes late for delayed Southwest flights Ho 141 142 : Delta 113 36 113 82 26 - Select your answer - 0 Southwest 49 56 31 110 141 df = p-value = We - Select your answer-reject Ho. Delta 142 7 39 90 94 (rounded to 2 decimals) (rounded to 2 decimals) Southwest 66 131 125 26 31 H₂H₂ - Select your answer - 0 b. What is…

13)   In a clinical study of an allergy drug, 115 of the 260 subjects reported experiencing significant relief from their symptoms. From the data, a 90% C.I. for the percentage of all subjects reported experiencing significant relief from their symptoms is (,blank ), blank  (round to the 3rd decimal place).

Chapter 11 2. Directions: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. A random sample of 200 students was selected from a large college in the United States. Each selected student was asked to give his or her opinion about the following statement. "The most important quality of a person who aspires to be the President of the United States is a knowledge of foreign affairs." Each response was recorded in one of five categories. The gender of each selected student was noted. The data are summarized in the table below. Page 2 of 4 Response Category Strongly Somewhat Disagree Male 10 Disagree 15 Neither Agree nor Disagree Somewhat Strongly Agree Agree 15 25 25 Female 20 25 25 25 15 Is there sufficient evidence to indicate that the response is dependent on gender? Provide statistical evidence to support your conclusion. AP Statistics

Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car did not travel as far as the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 21 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. Mean miles traveled Sample size t-statistic P-value п P 185 21 -0.65 0.262 The results statistically significant at a = 0.05 because P 0.05. are are not >

State the alternative hypotheses for the following claim: Although Americans account for only 4% of the world population, they account for 35% of the world’s suicide with a firearm. State the alternative hypotheses for the following claim: Although Americans account for only 4% of the world population, they account for 35% of the world’s suicide with a firearm.  p ≠ .35  p = .35  p ≥ .35  p < .35