1. A researcher claims that the United Nationalist Alliance (UNA) will win the election. A total of 4300 voters were polled and 2200 said they would vote for UNA. Is there enough evidence at 0.05 level of significance to support the claim? neieiosa Ho: На: :noizulono)
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- According to Example 9.17 on p. 257, there is no significant difference, at the 5% level, between towns A and B in their support for the candidate. However, the level α = 0.05 was chosen rather arbitrarily, and the candidate still does not know if he can trust the results when planning his campaign. Can we compare the two towns at all reasonable levels of significance? Compute the P-value of this test and state conclusions.It is known from experience that in a certain indus-try 60 percent of all labor–management disputes are over wages, 15 percent are over working conditions, and 25percent are over fringe issues. Also, 45 percent of the disputes over wages are resolved without strikes, 70 per-cent of the disputes over working conditions are resolved without strikes, and 40 percent of the disputes over fringe issues are resolved without strikes. What is the probabil-ity that a labor–management dispute in this industry will be resolved without a strike?4. A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 90 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim at α = 0.05.
- A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations.a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).A random sample of 1496 respondents of a major city in Brokefle country were questioned about a number of issues as indicated below:.a) When asked to agree or disagree with the statement “Explicit sexual books and magazines lead to rape and other sex crimes,” 823 agreed.b) When asked to agree or disagree with the statement “Handguns should be outlawed,” 650 agreed.c) 375 of the sample agreed that marijuana should be legalized.d) 1023 of the sample said that they had attended church or synagogue at least once within the past month.e) 800 agreed that public elementary schools should have sex education programs starting in the fifth grade.Requiredi) Construct estimates to the population at the 90% level for each of the results reported from the above questions.ii) Express the final confidence interval in percentages (e.g., “between 40 and 45% agreed that premarital sex was always wrong”).A medical researcher says that less than 25% of adults in a certain country are smokers. In a random sample of 250 adults from that country, 17.6% say that they are smokers. At α=0.05, is there enough evidence to support the researcher's claim?
- A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of atleast one regulation? b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by simpler pmf. c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).A second-stage smog alert has been called in a certain area of LosAngeles County in which there are 50 industrial firms. An inspector willvisit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation,what is the pmf of the number of firms visited by the inspector thatare in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X= the number among the 10 visited that are in violation,compute E(X) and V(X) both for the exact pmf and theapproximationg pmf in part (b).4.(a) The manufacturer of a certain voltmeter claims that 95% or more of its readings are within0.1% of the true value. In a sample of 500 readings, 470 were within 0.1% of the truevalue. Is there enough evidence to reject the claim?(b) A manufacturer of computer workstations is testing a new automated assembly process.The current process has a defect rate of 5%. In a sample of 400 worksations assembled bythe new process, 15 had defects. Can it be concluded that new process has a lower defectrate?
- 9.1 Since an instant replay system for tennis was introduced at a major tournament, men challenged 1429 referee calls, with the result that 416 of the calls were overturned. Women challenged 762 referee calls, and 224 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. D) Compute the test statistic z0. Round to the nearest hundredth. E) Draw a normal model with the area that represents the P-value shaded. F) Determine and interpret the P-value. What is the conclusion of the hypothesis test?
