In a recent study into renaming Entity 51, 312 of 400 residents surveyed did not mind there being a name change vote. (a) At 85% confidence, construct a confidence interval to predict the true percentage of resi- dents that did not mind there being a name change vote. (b) Repeat this for 92% confidence. (c) Repeat this for 97.5% confidence. (d) Were any assumptions needed to answer the above questions. Why or why not?
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In a recent study into renaming Entity 51, 312 of 400 residents surveyed did not mind there being a name change vote.
(a) At 85% confidence, construct a confidence interval to predict the true percentage of resi- dents that did not mind there being a name change vote.
(b) Repeat this for 92% confidence.
(c) Repeat this for 97.5% confidence.
(d) Were any assumptions needed to answer the above questions. Why or why not?
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- What is meant by the sample space of an experiment?A poll conducted in January 2020 surveyed likely democrat primary voters about who they would vote for in the primary election in 2020 and found the following results for the top 4 candidates: Joe Biden: 18% Bernie Sanders: 17% Elizabeth Warren: 16% Pete Buttigieg: 14% With a margin of error (AKA a 95% confidence interval) of ±4.1%. From a statistical standpoint, who would likely win the democrat primary if it was held on the day of the survey?A research group studying cell phone habits asked the question “Do you ever use your cell phone to make a payment at a convenience store?” to people selected from two random samples of cell phone users. One sample consisted of older adults, ages 35 years and older, and the other sample consisted of younger adults, ages 18 years to 34 years. The proportion of people who answered yes in each sample was used to create a 95 percent confidence interval of (0.097,0.125)(0.097,0.125) to estimate the difference (younger minus older) between the population proportions of people who would answer yes to the question. Which of the following is the best description of what is meant by 95 percent confidence? In repeated random sampling with the same sample size, approximately 95% of the sample proportions from the younger group will be between 0.097 and 0.125 greater than the sample proportion from the older group. A In repeated random sampling with the same sample size,…
- A statistics student wants to conduct a study to determine the proportion of workers in Cititon who commute to another town for work. If the student wants a 90% confidence interval with a margin of error of 2%, how many workers should be in her sample?After reporting the results from a formal hypothesis test, it is often likely that statisticians will report a confidence interval in order to indicate that a null value is present, indicating a significant response . True FalseA November 2018 CBS News Poll found that 35% of its sample planned to use online retailers for most holiday shopping. Give a 95% confidence interval for the proportion of all adults who plan to shop in this way, assuming that the result ˆp=0.35 comes from a sample size n= 650 n=1800 n=500 Explain briefly what your results show about the effect of increasing the size of a sample on the width of the confidence interval.
- Gallup is a company that conducts daily opinion polls on a variety of topics. In a recent daily survey of 1,000 randomly selected adults in the United States, 38% of the sample said they were committed to their work. Based on this sample, which of the following is a 97% confidence interval for the proportion of all adults in the United States who would say they are engaged in their work? Select one: a. (0.347, 0.413) b. (0.319, 0.441) c. (0.350, 0.410) d. (0.365, 0.395) e (0.340, 0.420)A recent survey of cell phone users indicated that 56 percent of the respondents prefer to use cell phones for texting rather than for making phone calls. A 95 percent confidence interval for the estimate of all cell phone users who prefer to use cell phones for texting has a margin of error of 3 percent. Assume all conditions for inference have been met. Based on the confidence interval, which of the following claims is supported? Select A, B, C, or D Less than half of all people prefer texting. A More than half of all people prefer texting. B At least 60 percent of all people prefer texting. C At least 75 percent of all people prefer texting. D At least 95 percent of all people prefer texting. E1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.
- In exploring possible sites for a convenience store in a large neighbourhood, the retail chain wants to know the proportion of ratepayers in favour of the proposal. If the estimate is required to be within 0.1 of the true proportion, would a random sample of size n = 100 from the council records be sufficient for a 95% confidence interval of this precision?A philanthropic organization sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 4900 donations.a) Given a 95% confidence interval for the true proportion of those from their entire mailing list who may donate?b) A staff member thinks that the true rate is 5.0%. Given the confidence interval you have found, do you find the rate plausible?Suppose that a safety group surveyed 1,100 drivers. Among those surveyed, 65% said that careless or aggressive driving was the biggest threat on the road, and 25% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––??> (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is 95% confidence that the population proportion…