To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred 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, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2.  Speeding Tickets   Ticketed Not Ticketed Men 12 183 Women 30 175Copy Data

Use the three-read strategy to understand the following exercise from a statistics textbook, and then proceed to complete the exercise. Suppose that in a study to determine if hormone therapy increases risk of venous thrombosis in menopausal women, each person in a sample of 589 women who had been diagnosed with venous thrombosis was classified according to hormone use. Each woman in a sample of 2,243 women who had not been diagnosed with venous thrombosis was also classified according to hormone use. Data from the study are given in the accompanying table. The women in each of the two samples were selected at random from patients at a large HMO in a certain U.S. state.   Current Hormone Use None EsterifiedEstrogen ConjugatedEquineEstrogen Venous Thrombosis 382 86 121 No VenousThrombosis 1,439 505 299 Is there convincing evidence that the proportions of those who would fall into each of the hormone use categories are not the same for women who have been diagnosed with…

A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup test, the instructor asked the students to identify the particular tire that went flat. If they really didn't have a flat tire, would they be able to identify the same tire? A statistician asked 47 other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a 0.05 significance level to test the statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really didn't have a flat? Tire Number Selected Left Front 12 Right Front 8 ... Determine the null and alternative hypotheses. Ho: The tires are selected with the same frequency. H₁: At least one tire has a different frequency than the other tires. Calculate the test statistic, X². x² = (Round to three decimal places as needed.) Left Rear 14 Right…

The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming that the sample sizes of 900 men and 400 women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?                 Gender of Interviewer         Man Woman     Women who agree   625 330     Women who disagree   275 70     Compute the test​ statistic, rounding to three decimal places. Find the critical​ value(s). (Round to three decimal places) What is the conclusion based on the hypothesis​ test?