3) Reynoldsburg surveys their high schoolers. They found 60% of students had cheated on a test and 80% of those who cheated felt guilt about it. What percent of all high schoolers in Reynoldsburg have both cheated and felt guilty about it?
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- An online shop owner believes that 85% of her customers will want to go into a real store. She surveyed 50 customers and 39 said they want to visit a store. Is the owners claim correct? Use a 0.01 level of significance.Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. 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 75%. A poll is commissioned, and 217 out of a random sample of 265 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 H 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.) (d) Find the critical…Thirty-five percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.35 , the same as the overall proportion of Americans who drink bottled water more than once a week. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of “p with a line over it” (to 4 decimals). E(p with a line over it) = 0` p with a line over it = Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.08 of the population proportion (to 4 decimals). Probability = Suppose you select a sample of 190 St. Paulites. Show the sampling…
- 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.…In order to estimate the proportion of students at a small liberal arts college who watch reality TV for more than 4 hours per week, a random sample of students at the school is selected and each is interviewed about his or her reality TV viewing habits. The students conducting the survey are worried that people that watch reality TV might be embarrassed to admit it and that they may not respond to the survey with honest answers. What type of bias are the students conducting the survey worried about? Measurement or response bias They shouldn't worry--there is no obvious source of bias. Selection bias Nonresponse biasNorthside High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following. (a) Which of the following surveys probably would best represent the entire population of seniors? 20 seniors are randomly selected; 17 plan to go to a 4-year college. 20 Chess Club members are randomly selected; 14 plan to go to a 4-year college. O 20 honor roll students are randomly selected from the senior class; 18 plan to go to a 4-year college. (b) There are 500 seniors at Northside High. Using your answer from part (a), estimate the number of seniors who plan to go to a 4-year college. ☐ seniors
- In a Gallup poll of 1236 adult respondents, 6% said that bad luck follows breaking a mirror. That percentage has a margin of error of 1.5 percentage points. Why is it misleading to state that the percentage is 6% with a margin of error of 1.5%?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 answerThirty-seven percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.37, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of (to 4 decimals).E(p) = __________σ = _________ b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.01 of the population proportion (to 4 decimals).probability = _________ c. Suppose you select a sample of 150 St.Paulites. Show the sampling distribution of p (to 4…
- Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 75% . 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 75% . A poll is commissioned, and 207 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 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…Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?Suppose a community college has 10,000 students (the population). We are interested in the average amount of money a part-time student spends on books in the fall term. Asking all 10,000 students is almost an impossible task. A sample is taken using a list of students who take photography classes, and each of these students is surveyed. Do you think that this sample is representative of the entire 10,000 student population? Why or why not?