In a poll of 25,000 voters in a certain city, 74% said that they backed a bill that would limit growth and development in their city. The margin of error in the poll was reported as 2 percentage points (with a 95% degree of confidence). Make a statement about the adequacy of the sample size for the given margin of error.
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In a poll of 25,000 voters in a certain city, 74% said that they backed a...
A Pew Research Center poll surveyed a random sample 850 voters and asked them if they support legalizing the use of marijuana. A Gallup poll surveyed a random sample of 1200 voters, from the same population that the Pew Research Center surveyed from, and asked the same question about legalizing the use of marijuana. Assume that the sample proportion who support legalizing the use of marijuana is exactly the same for each poll. If each poll goes on to construct...
A poll found that 74% of a random sample of 1013 adults said that they believe in ghosts. a. Determine the margin of error for a 99% confidence interval. (Round to three decimal places) E=
A poll found that 61% of a random sample of 1002 adults said that they believe in ghosts. a. Determine the margin of error for a 99% confidence interval. b. Without doing any calculations, indicate whether the margin of error is larger or smaller for a 90% confidence interval.
A poll taken this year asked 1009 adults whether they were fans of a particular sport and 55% said they were. Last year, 56% of a similar-size sample had reported being fans of the sport. a) Find the margin of error for the poll taken this year if one wants 90% confidence in the estimate of the percentage of adults who are fans of the sport. b) If one wanted to be 85% confident instead of 90% confident, would the...
Suppose we conduct a poll to estimate the proportion of voters who favor a major presidential candidate. Assuming that 50 percent of the electorate could be in favor of the candidate, determine the sample size needed so that we are 95 percent confident that pˆ , the sample proportion of voters who favor the candidate, is within a margin of error of .01 of p, the population proportion of all voters who are in favor of the candidate. n =...
In a recent poll of 1 adults current debt during the next three months. A more detailed poll surveyed 1288 adult groups, 18-29, 30-49, 50-64, and 65+. Complete parts a and b below ) Do you expect the 95% confidence interval for the true proportion of all 18-to 29-year-olds who are wormed to be wider or narrower than the 95% c for the true proportion of all consumers? Explain Choose the correct answer below O A The interval for the...
A newspaper conducts a poll to determine the proportion of voters who favor passage of a new handgun safety law. From the poll results, a 95% confidence interval estimate of the proportion is found: (0.514, 0.574). What proportion of those polled favored the safety law? (think point estimate) Answer: What was the margin of error for their results? Answer What was the margin of error for their results? Answer: If the confidence level was raised to 98%, but the sample...
41. A poll showed that 5757% of randomly surveyed adults in a certain country said their country benefits from having a rich class. Complete parts (a) through (h) below.a. Assuming the sample size was 400400, how many would have said that their country benefits from having a rich class?Assuming the sample size was 400400, nothing people in the sample would have said that their country benefits from having a rich class. (Round to the nearest integer as needed.) b. Is...
1. A random sample of n measurements was selected from a population with standard deviation σ=13.6 and unknown mean μ. Calculate a 90 % confidence interval for μ for each of the following situations: (a) n=45, x¯¯¯=89.8 ≤μ≤ (b) n=70, x¯¯¯=89.8 ≤μ≤ (c) n=100, x¯¯¯=89.8 ≤μ≤ (d) In general, we can say that for the same confidence level, increasing the sample size the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the...
A city ballot includes a local initiative that would legalize gambling. The issue is hotly contested, and two groups decide to conduct polls to predict the outcome. The local newspaper finds that 53% of 1600 randomly selected voters plan to vote "yes," while a college Statistics class finds 54% of 350 randomly selected voters in support. Both groups will create 95% confidence intervals. Assume that all voters know how they intend to vote and that the initiative requires a majority...