According to a report, 61.3% of murders are committed with a firearm. (a) If 400 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 254 murders by firearm in a random sample of 400 murders? Why?
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- According to a report, 71.9% of murders are committed with a firearm. (a) If 400 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 312 murders by firearm in a random sample of 400 murders? Why? (a) We would expect to be committed with a firearm. (b) Choose the correct answer below. A. Yes, because 312 is greater than u + 20. B. No, because 312 is between u - 20 and H+ 20. O C. No, because 312 is greater than p + 2o. D. No, because 312 is less than u - 20. E. Yes, because 312 is between u - 20 and u + 20.In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 XAre birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain in the Northwest asked just this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 190 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. Answer the following to summarize the test of the hypothesis that birthdays are equally…
- An article reported that in a particular year, there were 717 bicyclists killed on public roadways in a particular country, and that the average age of the cyclists killed was 43 years. These figures were based on an analysis of the records of all traffic-related deaths of bicyclists on public roadways of that country. (a) Does the group of 717 bicycle fatalities represent a census or a sample of the bicycle fatalities for that year? O a census O a sample (b) If the population of interest is bicycle traffic fatalities for this particular year, is the given average age of 43 years a number that describes a sample or a number that describes the population? O a number that describes a sample O a number that describes the populationA group of students at a local university were asked about their status (undergraduate, graduate, or non-degree seeking) and how they get to campus (walk/bike or car/bus/etc.). The results are summarized in the table below. How do you get to Campus? Walk/Bike Car/Bus/etc. Total Undergraduate 80 20 100 Graduate 40 10 50 Non-degree Seeking 10 40 50 Total 130 70 200 Suppose we choose a person at random from this sample. Which of the following statements is true? (A) If the person uses a car/bus/etc. to get to campus, then he or she is more likely to be a non- degree seeking student than a degree seeking student (undergraduate or graduate). (B) If the person is an undergraduate, then he or she is more likely to use a car/bus/etc. to get to campus than to walk/bike to campus. (C) The person is more likely be a graduate student if he or she uses a car/bus/etc. to get to campus than if he or she walks/bikes to campus. (D) The person is more likely to use a car/bus/etc. to get to campus than…2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
- . List the 10 possible samples (without replacement) of size 2 that can be obtained from the population of five officials. Lieutenant Governor (L) Secretary of State (S) Attorney General (A) Representative (R) Press Secretary (P) b. If a simple random sampling procedure is used to obtain a sample of two officials, what are the chances that it is the first sample on your list in part (a)? the secondsample? the tenth sample?In a survey, it was found that 80% of adults operate the flusher of toilets in public restrooms with their foot. (a) If 300 adults are randomly selected, how many would we expect to flush toilets in public restrooms with their foot? (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? (a) We would expect (Type a whole number.) adults to flush toilets in public restrooms with their foot. (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? Choose the correct answer below. O A. Yes, because 255 is greater than u + 2o. O B. No, because 255 is greater than u + 20. O C. Yes, because 255 is between u - 20 and u+ 20. O D. No, because 255 is less than u- 20. O E. No, because 255 is between u -20 and u+ 20.According to a report, 62.8% of murders are committed with a firearm. (a) If 100 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 73 murders by firearm in a random sample of 100 murders? Why? (a) We would expect to be committed with a firearm. (b) Choose the correct answer below. A. Yes, because 73 is greater than u + 20. B. No, because 73 is less than u - 20. C. Yes, because 73 is between u - 20 and u + 20. D. No, because 73 is between u - 20 and u + 20. E. No, because 73 is greater than u + 20.
- A population consists of a batch of 24,683 aspirin tablets, and it includes 1,050 that are defective because they do not meet specifications. A random sample of n = 200 of the tablets is obtained and tested, with the result that 15 of them are defective. a. What is the population proportion, p, of defective aspirin tablets? b. What is the sample proportion, p, of defective tablets? c. How can the discrepancy between the population proportion and the sample proportion be explained? a. The population proportion of defective aspirin tablets is p = (Round to three decimal places as needed.) b. The sample proportion of defective aspirin tablets is p= (Round to three decimal places as needed.) c. Choose the correct answer below. C O A. There will always be a discrepancy between the population proportion and the sample proportion when the sample size is small. O B. Random samples collected with sound sampling methods vary, and the sample proportions differ from the population proportion…2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
