*** out finding the confidence intervals, explain which one will have the larger margin of error. cal newspaper will have the larger margin of error, at least mainly because it has a much smaller sample size. both confidence intervals. nfidence interval for the local newspaper is (%%)! to one decimal place as needed.)
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- What is meant by the sample space of an experiment?A tv report conducted a survey of 681 people in Washington state and found that 26% of the population believe that Mt Saint Helen's will have a repeat eruption this year. In the accompanying dialogue, the reporter states, we are 91% confident that the true proportion of people in Washington state who believe that Mt saint Helen's wil have a repeat eruption this year lies between 20% and 32%. What does 91% represent in the report?Toastmasters International cites a report by Gallop Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 135 report they fear public speaking. Conduct a hypothesis test to determine if the percent at her school is less than 40%.
- A local TV station conducts an “Instant Poll” to predict the winner in the upcoming mayoral election. Evening news viewers were invited to phone in their votes, with the results to be announced on the late-night news. Based on the phone calls, the station predicted that Joseph Serra would win the election with 52% of the vote. They were wrong: Serra lost, getting only 46% of the vote. This faulty prediction may be the consequence of what kind of bias?Procrastination is an issue many college students face and which teachers wish students would overcome. A random sample of 8 volunteers participated in a study where they received counseling about procrastination. Before the counseling, the participants were given an exam about their study habits from the past week. After the counseling, the same students were given an exam about their study habits. A higher test score indicates that the participants are more likely to procrastinate. The before and after scores on a scale from 1 to 10 for each volunteer are given in the table below. Conduct a hypothesis test to see whether there is a difference between the procrastination scores before and after the counseling session. Before: 2, 10, 7, 3, 4, 8, 10, 3 After: 2, 9, 7, 3, 2, 6, 8, 1 hypothesis test neededA local town council is considering a proposal to build a large department store within the town borders. A local resident is against the proposal and conducts a survey of town residents. She selects a random sample of residents and asks them “Are you in favor of a new department store in the town, which would create traffic delays? Please answer yes or no.” Of the 240 residents surveyed, 211 residents responded “no.” Based on this sample, the resident claimed that she was 95% confident that the interval from 0.84 to 0.92 captures the true proportion of residents who are against building the new store. Describe one potential source of bias in this survey that is not accounted for by the margin of error.
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- 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 196 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 0.01 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.) (d) Find the…After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of the following hypotheses: H0: Customer opinion is equally distributed across the three options. Ha: Customer opinion is not equally distributed across the three options. The chi-square test statistic is χ2 = 7.77 and the P-value is between 0.02 and 0.025. What conclusion should the public relations department make? Use α =0.05. Reject H0. There is convincing evidence that the distribution of customer opinion is equally distributed across the three options. Reject H0. There is convincing evidence that the…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 220 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 Ho and the alternative hypothesis H₁. H₂ : p = 0.75 H₁ :p > 0.75 (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.…
