Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier's strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpopo support the economic strategies of the premier. How many people should SABC survey?
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- Economist Arthur Laffer suggests that beyond a certain point, high tax rates depress the economy so much that they actually reduce tax revenues. He proposed tax reductions as a means of stimulating the economy and, as a result, increase tax revenues. In the mid 1990’s Time magazine reported that 30% of the US Congress supported a tax cut as a means of stimulating the economy and increasing tax revenues. Suppose at that time 5 members of congress were randomly selected for an interview and asked whether they supported a tax cut to stimulate the economy. 1.2) Find the probability that at least three of the five members of congress who were interviewed were in favour of a tax cut (rounded off to four decimals).A researcher claims that the percentage of voters that favor voting via absentee ballot is 35%. Identify the alternative hypothesis Ha.Assuming the market research was done properly and the 40% is representative, how many sales are expected if the publisher attempts to sell to 5,000 homes?
- Suppose a marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions.In a poll, 1,001 men in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, 47% said that they were in favor. Identify the population and the sample. What is the population in the given problem? Choose the correct answer below. A. 47% of the 1,001 men selected B. 47% of all men in the country C. All men in the country D. The 1,001 men selected Identify the sample for the given problem. Choose the correct answer below. A. 47% of all men in the country B. The 1,001 men selected C. 47% of the 1,001 men selected D. All men in the countryIn 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?
- Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.The manager of a library that is open to residents of two towns, Royal Center and Winamac, wants to know if the proportion of households from Royal Center that use the library is smaller than the proportion of households from Winamac. In order to test this, the library manager asks 45 households in Royal Center and 49 households in Winamac whether anyone in their household had used the library last summer. 23 of the households surveyed in Royal Center responded "yes", and 35 of the households in Winamac responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.Answer this question using the contingency Table and probailities. Varaible 1 is Death trend Vraiable 2 is AdultVacTrend
- In many colleges, educators are changing their approach to instruction from a “teacher/lecture-centeredmodel” to a “student-centered model” where students learn in a laboratory environment in which lectureis deemphasized and students can proceed at a pace suitable to their learning needs. In once schoolwhere this model was being introduced, of the 743 students who enrolled in the traditional lecture model, 364 passed; of the 567 in the student-centered model, 335 passed. Use a 0.05 level ofsignificance to test the claim that student-centered model results in a higher pass rate than the traditionalmodel?Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 65% . After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 65% . A poll is commissioned, and 194 out of a random sample of 275 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round…Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 65%. A poll is commissioned, and 185 out of a random sample of 275 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (a) State the null hypothesis H0 and the alternative hypothesis H1. H0: H1: (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to…