The immunity rate for a person who received the vaccine was .07% (3 people out of 428 people) while the rate for those who were in the placebo group was 2.3% (10 people out of 426 people). Construct a 95% confidence interval for the difference in immunity rate between vaccine group and the placebo group.
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- Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. We want to construct a 90% confidence interval estimate for the difference between the true proportion of males who say they would return the money to their neighbor and the true proportion of females who say they would return the money to their neighbor. Choose the best option for the result of constructing that interval. O -226 < p1 -p2 < +.003 O-226 < p1 -p2 <.-.048 O -243 < p1 -p2 < -.031A beverage company would like to determine if their drink is preferred to a rival company’s drink. They perform an experiment with 150 randomly selected individuals and have them taste test the two different drinks in a controlled environment so that each person's preference is independent of others. A 90% confidence interval for the proportion preferring their drink is (0.453, 0.587). Which of the following is the correct interpretation of this confidence interval? 90% of all consumers prefer this beverage company’s drink to their rival’s between 45.3% and 58.7% of the time. We’re 90% confident that between 45.3% and 58.7% of all consumers would prefer this beverage company’s drink to their rival’s drink. We’re 90% confident that there’s a 45.3% to 58.7% chance that a randomly selected person would prefer this beverage company’s drink to their rival’s drink. We’re 90% confident that the proportion of people in the sample who prefer this beverage company’s drink over their…A researcher surveys a group of college students to determine the negative life events that they experienced in the past 5 years and their current feeling of well-being. For N = 18 participants with 2 or fewer negative experiences, the average well-being score was X = 42 with SS = 398. For the N = 16 participants with 5 to 10 negative experiences the average score is X = 48.6 with SS = 370. Construct a 95% confidence interval for the difference between the population means for the two groups.
- A football coach claims that the average weight of all opposing teams’ members is 225 pounds. For a test of the claim, a simple random sample of 50 players is taken from all the opposing teams. The mean is found to be 230 pounds with a standard of 15 pounds. Construct a 95% confidence interval for the unknown average weight of the population of all the players of opposing teams. Interpret your result.2 different treatments were used to speed the relief time (in minutes) of migraines. 8 subjects received each treatment. The recovery times are listed below. Treatment 1: 20 19 29 25 34 32 39 38 Treatment 2: 18 18 16 17 29 28 21 37 Construct a 90% confidence interval for the difference in the relief time between the 2 treatments.A study would like to investigate the risk of lung cancer in url. area and rural area. Assume the proportion of urban residents with lung cancer is p1, and the proportion of rural area residents with lung cancer is p2. If it is found that 20 of 200 adults in an urban community have lung cancer and 10 of 150 adults in the rural community have lung cancer. Find the 95% confidence interval for the difference in the proportions. Would you conclude that p1 is greater than p2? Select all correct answers. O "O" is not in the interval (C.I) O Yes, we can conclude p1 is greater than p2. O "0.1" is in the interval (C.I) O "O" is in the interval (C.I) Not enough information is given. O (-0.02431, 0.090972) O (21.48721, 22.90809) O No, we can't conclude p1 is greater than p2. O "0.1" is not in the interval (C.I) (-1.21908, 2.64790) O (-19.20998, -17.21458) Previous hp
- An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Indian River county. The economist found that 3.09% of a random sample of 632 county residents were unemployed.Find three different confidence intervals for the true proportion of Indian River county residents who are unemployed. Calculate one confidence interval with a 95% confidence level, one with a 96% confidence level, and one with a 97% confidence level. Notice how the confidence level affects the margin of error and the width of the interval.Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to two decimal places, if necessary.The margin of error for a 95% confidence interval is given by E =.A 95% confidence interval is given by:Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,025 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,025 surveyed, 484 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.A recent provincial report states that 90% of the population is aware that piercings as well as tattoos can transmit infectious disease. A survey was conducted in the province and random subjects were asked if they knew that piercings as well as tattoos could transmit an infectious disease. Following this, 1450 people responded with "yes" and 48 responded with "no". Find the 95% confidence interval estimate of the proportion of those who know that piercings as well as tattoos can transmit an infectious disease.
- Several years ago, 41% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 468 of 1,135 parents with children in grades K-12 were satisfied with the quality of education the students receive. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. Click the icon to view the Confidence Interval Critical Value table. What are the null and alternative hypotheses? Ho: P 0.41 versus H₁ :p # 0.41 (Type integers or decimals. Do not round.) Find the 90% confidence interval. = The lower bound is The upper bound is (Round to three decimal places as needed.)A market research business is interested in testing the hypothesis that the proportion of students who own a car is smaller for the local university campus than for the local private college. They interviewed 240 students from the university and 250 students from the private college. The number of students who owned a car was 162 at the university and 183 at the private college. Construct a 99% confidence interval for the difference in the true proportions of students who own cars at the two campuses (rounded off to three decimals).A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo. The outcome is pain relief within 30 minutes. Generate a 95% confidence interval for the proportion of patients on the new medication who report paint relief. Generate a 95% confidence interval for the difference in proportions of patients who report pain relief. Pain Relief No Pain Relief New Medication 44 76 Placebo 21 99