In a random sample of 400 residents of Nassau County, 320 residents indicated that they voted for the Democratic candidate in the last presidential election. a) Develop a 95% confidence interval for the proportion of all Nassau County residents who voted for the Democratic candidate. b) Develop a 99% confidence interval for the proportion of all Nassau County residents who voted for the Democratic candidate.
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In a random sample of 400 residents of Nassau County, 320 residents indicated that they voted for the Democratic candidate in the last presidential election.
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- 6To test the fairness of law enforcement in Bartow County, a local citizens' group want to know whether women and men are unequally likely to get speeding tickets. Two hundred adults in Bartow County are randomly phoned and asked whether or not they had been cited for speeding in the last year. For a sample of 114 women, 12 were ticketed and 102 were not ticketed. For a sample of 86 men, 11 were ticketed and 75 were not ticketed. Use a 0.05 level of significance to test the claim that women and men are unequally likely to get speeding tickets. Women are sample proportion 1. Men are sample proportion 2. What is the z-test statistic for this problem? Round the answer to two decimal places. What is the p-value for this problem? Round the answer to three decimal places. What is the conclusion when you compare the p-value and the level of significance,? What is the conclusion based on the original claim?A study in Boston schools questioned third graders to see if they felt stress in their school life. Out of 37 boys, 18 said they felt stress. While 16 out of 54 girls said they felt stress. Is this enough evidence to show that the boys and girls experience stress differently?
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- A consulting firm gathers information on consumer preferences around the world to help companies monitor attitudes about health, food, and healthcare products. They asked people in many different cultures how they felt about the statement "I have a strong preference for regional or traditional products and dishes from where I come from." In a random sample of 810 respondents, 433 of 661 people who live in urban environments agreed (either completely or somewhat) with thatstatement, compared to 75 out of 149 people who live in rural areas. Based on this sample, is there evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural dwellers? Write the appropriate hypotheses to conduct a hypothesis test. Let p1 be the proportion of people living in urban environments that agree with the statement. Let p2 be the proportion of people living in rural environments that agree with the statement. Choose the…Does the source of medical information affect people’s confidence that it is true? To answer this question, you presented medical information to participants regarding the importance of vaccinations. Participants were randomly assigned to read medical information from a doctor, a politician, or a celebrity. Then, they indicated how confident they were that the information is true.In recent years, many states have enacted tougher voter identification laws requiring a government issued photo ID. Proponents claim that these laws are necessary to reduce voter fraud. Opponents claim that voter fraud is rare and that since as many as 11% of eligible voters do not have the required identification, these tougher laws will discourage millions of minorities and low-income Americans from voting. The Washington Post conducted a national poll (July 7-19, 2012) and found that 1558 out of 2064 adults supported the tougher voter ID laws. 1)Construct a 95% confidence interval for the proportion of adults who approve of tougher voter ID laws. Document your work in the space provided below. Document how you computed the margin of error and the confidence interval in the space provided below. Round all numbers to 4 decimal places. 2)Is it likely that three-fourths of adults approve of these new laws?