answered the economy. We are interested in the population proportion of voters who feel the ec most important. a. b. Construct a 90% confidence interval: What is the error bound? How would the confidence interval change if the level of confidence were 95%? → A. Wider O B. Narrower O C. No change 10.4
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- What is meant by the sample space of an experiment?A Gallup poll asked a sample of Canadian adults if they thought the law should allow doctors to end the life of a patient who is in great pain and near death if the patient makes a request in writing. The poll included 250 people in Quebec, 198 of whom agreed that doctor-assisted suicide should be allowed.(a) What is the margin of error of the large-sample 99.9% confidence interval for the proportion of all Quebec adults who would allow doctor-assisted suicide? MoE:(b) How large a sample is needed to get a±3 percentage point margin of error (this is very commonly used)? Use the previous sample as a pilot study to get p*. (You may need four decimal places in your critical value to solve this problem.)Sample size:The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home, because if the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. Should they use a hypothesis test or a confidence interval to answer this question? a) Hypothesis test. b) Confidence interval.
- In a past presidential election, 37,979,113 people voted for Candidate A 37,758,117 for Candidate B; and 206,521 for third-party candidates. a. What percentage of voters chose Candidate A? b. Would it be appropriate to find a confidence interval of voters choosing Candidate A? Why or why not?In a survey of 500 students, 180 students said that they prefer classes on Mondays and Wednesdays rather than on Tuesdays and Thursdays. Using a 95% confidence interval, answer the following questions. a. What is the margin of error for this study? b. Construct a 95% confidence interval that estimates the proportion of students that prefer classes on Mondays and Wednesdays.The owner of the AGT Gas Station wishes to determine the fraction of customers who pay using a credit card or debit card. A random sample of 100 customers was surveyed and finds that 80 paid using their credit card or debit card. If you are going to construct a 99% confidence interval for the fraction of customers who paid using their credit card or debit card, what will be the value of the margin of error? a. 0.0658 b. 0.103 c. 0.0784 d. 0.0299
- After Texas A&M lost again to their rival, the University of Texas, in a football game, the A&M Alumni association decided to conduct a survey to see who wanted to fire the head football coach. Let p represent the proportion of all alumni who favor firing the coach. To guarantee an estimate that is within 0.05 of p at the 95% confidence level, which of the following is the smallest sample size needed? a 269 b 1436 c 385 d 601 e 421A 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 regional survey of 561 companies asked the vice president of operations how satisfied he or she was with the software support received from the computer staff of the company. Suppose 187 of the 561 vice presidents said they were satisfied. What is the 99% confidence interval for the proportion of the population of vice presidents who would have said they were satisfied with the software support if a census had been taken?
- 1) A Gallup poll asked a sample of Canadian adults if they thought the law should allow doctors to end the life of a patient who is in great pain and near death if the patient makes a request in writing. The poll included 260 people in Quebec, 163 of whom agreed that doctor-assisted suicide should be allowed. (a) What is the margin of error of the large-sample 96% confidence interval for the proportion of all Quebec adults who would allow doctor-assisted suicide? MoE: (b) How large a sample is needed to get a ±3 percentage point margin of error (this is very commonly used)? Use the previous sample as a pilot study to get p*. (You may need four decimal places in your critical value to solve this problem.) Sample size:For the first fill in the blanks in part B) the options are it “does” or “does not” seem likely, for the second, “inside” or “outside” the confidence intervals, third, “does” or “does not” seem likely, and the last one is “outside” or “inside”In June 2020, a Gallup Poll asked U.S. adults whether immigration was a good thing or a bad thing forthe country. Out of 1000 respondents, 600 said it was a good thing. (b) Check the conditions to determine whether you can use the CLT to find a confidence interval. (c) Find the mean and standard error of the sampling distribution? (d) Find a 95% confidence interval for the proportion who believe immigration is a good thing.