A simple random sample of front-seat occupants involved in car crashes was obtained. Among 7,000 occupants not wearing seat belts, 18were killed. Among 7765 occupants wearing seat belts, 16 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities using the critical value approach. a) Define parameters and state null and alternative hypothesis. b)Test statistics c) P-value d) Conclusion
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A simple random sample of front-seat occupants involved in car crashes was obtained. Among 7,000 occupants not wearing seat belts, 18were killed. Among 7765 occupants wearing seat belts, 16 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities using the critical value approach.
a) Define parameters and state null and alternative hypothesis.
b)Test statistics
c) P-value
d) Conclusion
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- A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2769 occupants not wearing seat belts, 28 were killed. Among 7887 occupants wearing seat belts, 14 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 #P2 H:Pq =P2 O B. Ho: P1 SP2 H: P1 #P2 OC. Ho: P1 = P2 H: P1 P2 H1: P1 #P2 Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V the null hypothesis. There V sufficient evidence to support the claim that the fatality rate is higher…A random sample of 400 residents are asked if they are in favor of the proposed 10% vanity tax that will raise badly needed revenue for infrastructure development. If 300 are in favor, test the hypothesis that more than 60% of the voters are in favor of the proposed tax. Using a 0.01 level of significance, what is the appropriate test statistic? Ot=6.12 Ot=-6.12 Oz=6.12 OZ=-6.12An assembly line will be shut down for maintenance if the defect rate exceeds 2.3%. Suppose you adopt a 5% significance level and take a random sample 200 items off the assembly line and compute the proportion that are defective. For what values of the sample proportion will the assembly line be shut down?
- In a study of high school students at least 16 years of age, researches obtained data summarized in the table below. Test the claim that texting while driving is independent of drinking alchohol and driving. Assume a significance level of 0.05. Drove when Drinking Did not drive when Drinking Totals Texting while Driving 731 3054 3785 No Texting and Driving 156 4564 4720 Totals 887 7618 8505 c) What is the Alternative Hypothesis? d) Which type of test will be used? e) What critical values are there?Since an instant replay system for tennis was introduced at a major tournament, men challenged 1421 referee calls, with the result that 418 of the calls were overturned. Women challenged 778 referee calls, and 228 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. O A. Ho: P1 = P2 O C. Ho:P1 = P2 H1: P1 > P2 O B. Ho:P1 = P2 H1: P1 #P2 H1: P1To test the fairness of law enforcement in its area, a local citizens group wanted to know whether women and men are unequally likely to get speeding tickets. 400 randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. using the results in the following table and a 0.10 level of significance Men ticket =35, Men not ticketed= 144 women ticketed= 22, women not ticketed = 199 Compute the test statisticThe heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. (a) What is the z-score for a woman 61 inches tall? z-score = (b) What is the z-score for a man 70 inches tall? z-score =4. A very large population has a mean of 180 and a standard deviation of 24. One day a sample of 64 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? The standard error of the mean will be smaller with 64 observations. It is impossible to determine any of the above given the available information. The standard error of the mean will be larger with 64 observations. The standard error of the mean will be the same with either 64 or 100 observations.A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2807 occupant: not wearing seat belts, 33 were killed. Among 7718 occupants wearing seat belts, 19 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P1 sP2 H1: P1 P2 O B. Ho: P12 P2 O A. Ho: P1 = P2 H1: P1 > P2 H1: P1 P2 O F. Ho: P1 = P2 H1: P1 # P2 O D. Ho: P1 = P2 O E. Ho: P1+ P2 H1 P1According to a survey of 650 Web users from Generation Y, 351 reported using the Internet to download music. a. Determine the sample proportion. b. At the 5% significance level, do the data provide sufficient evidence to conclude that a majority of Generation Y Web users use the Internet to download music? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure.Use the pulse rates in beats per minute of a random sample of adult females listed in the data set that is available below to test the claim that the means is less than 74 b. p.m. Use a 0.10 significance level.A random sample of 319 front-seat occupants involved in head-on collisions in a certain region resulted in 95 who sustained no injuries. We wish to use this sample data to test whether the true proportion of uninjured occupants in head-on collisions exceeds 0.25 or not. What would your conclusions be for this test of hypothesis, given a 5% significance level?SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. 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