1. It is believed that at least 60% of the residents in a certain area favor an annexation suit by a neighboring city. What conclusion would you draw if only 110 in a sample of 200 voters favored the suit? Use a 0.05 level of significance.
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- 4) You know that 70 percent of the subs at theme parks in the US are yellow. There are 220 subs in theme parks in the US. You are in a contest where you select sub names from a hat and record the name of the theme park sub. (No replacement ). You win a prize if you select a greater percentage of yellow subs than 90% of your many many competitors. What percentage of yellow subs do you need to select?5. Suppose that 68% of all adults think that airplanes would be safer places if airline passengers were banned from carrying on board any luggage, including purses, computers, and briefcases. An opinion poll plans to ask an SRS of 1023 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases, will vary if we take many samples from this same population. The sampling distribution of the sample proportion is approximately Normal with mean 0.68 and standard deviation about 0.015. Sketch this Normal curve and use it to answer the following question. Round to nearest tenth percent. What is the probability of getting a sample in which more than 70% think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases?Suppose 500 people in the sample of 1,007 adults were women. Gallup asked these 500 women. "What is your favorite Summer Olympic event?" Thirty-five percent said swimming was their favorite. Gallup gave a margin of error for this result. A) ....Plus or minus 3 percentage points just as for the overall poll B)...greater than plus or minus 3 points becuase the sample for this question is smaller C)...less than plus or minus 3 points because the population of swimming fans is smaller than the population of all adults D)...Less than plus or minus 3 points becuase the sample for this question is smaller
- A TV news reporter says that a proposed constitutional amendment is likely to win approval in the upcoming election because a poll of 541 likely voters indicated that 53% would vote in favor. The reporter goes on to say that the margin of error for this poll was 5%. Complete parts a and b below. a) Explain why the poll is actually inconclusive. Choose the correct answer below. O A. The poll is inconclusive because the standard error of the sample proportion is less than 0.50. O B. The poll is inconclusive because the margin of error is too large. OC. The poll is inconclusive because the sample size is too small. O D. The poll is inconclusive because 50% is included in the confidence interval. b) What confidence level did the pollsters use? The pollsters used a % confidence level.There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent? A. The selections are dependent, because the selection is done without replacement. B. The selections are dependent, because the sample size is not small relative to the population. C. The selections are independent, because the sample size is small relative to the population. D. The selections are independent, because the selection is done without replacement. If the selections are dependent, can they be treated as independent for the purposes of calculations? A. Yes, because the sample size is greater than 5% of the population. B. Yes, because the sample size is less than 5% of the population. C.…10. For adults, certain type of cancers can be treated with multiple health interventions. To gain information about all Maryland-based treatment centers a survey is sent to a randomly chosen group of 25 Maryland based treatment centers that asks about the recommended interventions for cancer patients based on medical records, insurance, and income. All of the randomly selected treatment centers completed the survey. The sample is: For adults, certain type of cancers can be treated with multiple health interventions. To gain information about all Maryland-based treatment centers a survey is sent to a randomly chosen group of 25 Maryland based treatment centers that asks about the recommended interventions for cancer patients based on medical records, insurance, and income. All of the randomly selected treatment centers completed the survey. The sample is: a. the 25 Maryland-based treatment centers b. the medical records, insurance, and income c. all Maryland-based treatment…
- 3. A newly graduate of administration of justice has been hired by the regional director of the FBI to take a poll of a residential area to determine the proportion of residents who would be opposed to a gun exchange program in their community. The regional director of the FBI told her that if 50% or more of the residents are opposed to the idea, a gun exchange program will not be implemented. She takes a random sample of 150 household heads in the community and find that .42 of those sampled are opposed to the idea. Build a 99% confidence interval around this point estimate. Is 50% within her interval? What would she advise the regional director of the FBI who hired her?Many polls are conducted over the telephone. Some polling organizations choose a sample of phone numbers to call from lists that include landline phone numbers only, and do not include cell phones. Do you think this increases the bias in phone polls? [ Select ] [ Select ] No Yes4. You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 38% of air passengers prefer an aisle seat. (Round up to the nearest integer.) C. Compare the results from (a) and (b). Explain any differences
- 43. You have been hired by the Department of Health and Human Services to analyze the qualifications of social workers in your state. Your boss thinks that social workers in one part of the state are underqualified to serve the needs of the community where they work. You know from state data that the average social worker statewide has 10.2 years of experience. You then conducted a study by gathering a random sample of social workers from the region of concern. Your sample consisted of 203 randomly selected social workers, who had an average of 8.7 years of experience, with a standard deviation of 0.52 years. Based on your data, can you conclude that social workers from the region of concern have significantly less experience than workers statewide?An art authenticator has a history of successfully identifying forgeries. Over her career, she has been asked to evaluate 74 actual forgeries and correctly identified 69 of them. Further, among all the authentic art she has looked at, she has never claimed any to be forgeries. An art dealer is considering purchasing a painting but is worried it is a fake. His experience in the field over the years indicates about 3% of the artwork he comes across is forged. a) If the dealer employs the services of the authenticator, and she indicates the painting is genuine, what is the chance it is actually a forgery? b) Without authentication, the dealer can sell the painting for $20,000. The price would increase to $25,000 if the painting were authenticated as genuine, but obviously it is worthless if it is deemed a forgery. The authenticator charges $2,000 for her services. Do you think it is worth it for the dealer to use the authenticator? Why or why not?b) A certain pay television company wishes to estimate the proportion of its customers who would purchase a pay television program guide. To do this, the company manager decides to select a random sample of customers and note the number who would purchase a program guide. Suppose that experience in other areas suggests that about 13% of customers will purchase a program guide. How many customers should the company manager include in his sample if he wishes to estimate the true proportion who will purchase the program guide correct to within 5% (0.05) with a confidence level of 95%?