7. Time magazine reported the result of a telephone poll of 800 adult Americans. The question posed of the Americans who were surveyed was: "Should the federal tax on cigarettes be raised to pay for health care reform?" 351 out of 605 non-smokers said "yes" and 41 our 195 smokers said "yes." The researcher suspects that smokers would not agree with the decision to tax. a. Conduct a 5-step hypothesis test at a 5% level of significance.
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- 9. In a telephone survey of 800 registered voters, the data are cross classified both by gender of respondent and by respondent's opinion on an environmental bond issue. Men Women Bond issue For 450 160 Against 150 40 We want to know whether there is good evidence that one's gender influences whether a person is for or against the bond issue. Use the chi-square test to answer this question. State the hypotheses, discuss conditions, perform calculations, and report your conclusions.Childhood vaccinations: In January 2015, the Pew Research Center reported results from one of their surveys. “Asked about whether vaccines for childhood diseases such as measles, mumps, rubella (MMR) and polio should be required or left up to parental choice, 68% of adults say such vaccines should be required while 30% say that parents should be able to decide whether or not to vaccinate their children.” The following is an excerpt from the press release: The survey of the general public was conducted using a probability-based sample of the adult population by landline and cellular telephone Aug. 15-25, 2014, with a representative sample of 2,002 adults nationwide. The margin of sampling error for results based on all adults is plus or minus 3.1 percentage points. Source: C. Funk and L. Raine. Public and Scientists’ Views on Science and Society (2015) Which of the following statements is correct when interpreting the 95% confidence interval for these findings? 1. We are 95%…3. Today, in a random sample of 30 people, Trump received an approval rating of 30% world- wide. On his last day in office, Trump had an approval rating of 22% world-wide. Using a hypothesis test, is his approval rating getting better?
- Athabasca Fishing Lodge is located on Lake Athabasca in northern Canada. In one of its recent brochures, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 65 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use? = 0.05 . Is the sample size large enough to approximate distribution using Normal distribution? WHY?.b. What are the hypotheses?1.66 Views on immigration: 1160 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below. (Round all answers to the nearest hundredth of a percent) Conservative Moderate Liberal Total (i) Apply for citizenship (ii) Guest worker (iii) Leave the country (iv) Not sure 48 123 180 351 149 116 29 294 179 132 22 333 74 87 21 182 Total 450 458 252 1160 a) What percent of these Tampa, FL voters identify themselves as conservatives? 38.79 b) What percent of these Tampa, FL voters are in favor of the citizenship option? 30.26 c) What percent of these Tampa, FL voters identify themselves as conservative and are in favor of the citizenship option?…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 180 out of a random sample of 250 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 0.05 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. b.) Determine the type of test statistic to use (Z, t (with t, degrees of freedom is needed), Chi-Square, or F). c.) Find the value of the test statistic. (Round to three or more decimal places.) d.) Find the p-value. (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 199 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 0.01 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 Ho and the alternative hypothesis H₁. H₁ :0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the…By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %3. Statistic or parameter ? a.Researchers want to determine what percentage of Maryland residents are in favor of the death penalty. Suppose that 7% of a random sample of 1200 residents are in favor of the death penalty. This percentage (7%) would represent statistic/parameter b. The online MBA director at a large business school surveys a sample of current students to determine their level of satisfaction with the program. She finds that 67% of them are "very satisfied" with the online program. This result is statistic/parameter. c. All the third graders in a county were asked to complete a survey about who likes vanilla ice cream. 90% response was in favor of the flavor. This is statistic/parameter. d. The average Statistics test scores of all students in in PGCC a. A study took a group of adults and randomly divided them into two groups. One group was told to drink tea every night for a week, while the other group was told not to drink tea that week. Researchers then compared when…
- 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 270 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 0.05 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.…If sample data is such that for a one-tailed test of ? you can reject H0 at the 1% level of significance, can you always reject H0 for a two-tailed test at the same level of significance? Explain your answer? A. Yes. If H0 for a one-tailed test is rejected at the 1% level of significance, it will always be rejected for a two-tailed test at the same level of significance. B. No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rejected for a two-tailed test at the same level of significance. C. Yes. The P-value for the two-tailed test could be greater than 0.01. D. No. The P-value for the two-tailed test could be greater than 0.01.Sample surveys on sensitive issues can give different results depending on how the question is asked. A University of Wisconsin study randomly divided 2400 respondents into three groups. All participants were asked if they had ever used cocaine. One group of 800 was interviewed by phone; 21% said they had used cocaine. Another 800 people were asked the question in a one-on-one personal interview; 25% said “Yes.” The remaining 800 were allowed to make an anonymous written response; 28% said “Yes.”101. Was this an experiment or an observational study? Justify your answer.2. Make a two-way table of responses about cocaine use by how the survey was administered.3. Are the differences between the three groups statistically significant? Give appropriate evidence to support your answer