A drug manufacturing company is debating whether a vaccine is safe enough to be marketed. The company claims that the vaccine is 90% effective; that is, when tried on a person, the chance for that person to develop immunity is 0.9. The federal drug agency, however, believes that the claim is exaggerated and that the drug is 40% effective. To test the company claim, the following procedure is devised: The vaccine will be tried on 10 people. If 8 or more people develop immunity, the company claim will be granted. Find the probability the company claim will be granted incorrectly, that is, the federal drug agency is correct in its assertion.

A researcher is investigating the effects of sleep deprivation by testing people in the morning when they are well rested and testing again after they have been awake for 36 hours. Which of the following research designs should be used?  a.  repeated-measures b. independent-measures

A manufacturer of laptop computers claims that only 1% of their computers are defective. In a sample of 600 computers, it was found that 3% were defective. If the proportion of defectives were really only 1%, there would be than 1 chance in 1000 of getting such a large proportion of defective laptops in the sample. Is there statistically significant  evidence against the manufacturer's claim? Why or Why not?

Angioplasty is a medical procedure in which an obstructed blood vessel is widened. In some cases, a wire mesh tube, called a stent, is placed in the vessel to help it remain open. A study was conducted to compare the effectiveness of a bare metal stent with one that has been coated with a drug designed to prevent reblocking of the vessel. A total of 5329 patients received bare metal stents, and of these, 830 needed treatment for reblocking within a year. A total of 1125 received drug-coated stents, and 146 of them required treatment within a year. Can you conclude that the proportion of patients who needed retreatment differs between those who received bare metal stents and those who received drug-coated stents? Let p1 denote the proportion of patients with bare metal stents who needed retreatment and p2 denote the proportion of patients with drug-coated stents who needed retreatment. Use the α=0.10 level of significance and the P-value method with the TI-84 Plus calculator. a)State…

One program to help people stop smoking cigarettes uses the method of posthypnotic suggestion to remind subjects to avoid smoking. A random sample of 18 subjects agreed to test the program. All subjects counted the number of cigarettes they usually smoke a day; then they counted the number of cigarettes smoked the day after hypnosis. (Note: It usually takes several weeks for the subject to stop smoking completely, and the method does not work for everyone.) The results follow.   CigarettesSmoked per Day   CigarettesSmoked per Day Subject AfterHypnosis BeforeHypnosis Subject AfterHypnosis BeforeHypnosis 1 29 21 10 8 14 2 18 32 11 14 39 3 5 18 12 28 47 4 25 23 13 35 22 5 32 23 14 13 39 6 11 41 15 2 16 7 2 11 16 12 34 8 11 16 17 7 21 9 7 29 18 13 29 Using a 10% level of significance, test the claim that the number of cigarettes smoked per day was less after hypnosis. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal…

Many states mandate tests that have to be passed in order for the students to graduate with a high school diploma. A local school superintendent believes that after-school tutoring will improve the scores of students in his district on the state's graduation test. As a trial run, a tutor agrees to work with 15 students for a month. The superintendent ask the school board to implement this after-school tutoring program if there is evidence that student scores would increase by an average of more than 20 points. Create a 95% confident level to estimate the true score increase. 25.4 23.3 17.8 21.3 14.8 28.8 22.5 23.6 32.3 15.4 23.4 27.5 18.8 19.1 20.4 a. Confidence Interval b. Conclusion

Provide an appropriate response. A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with high cholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's cholesterol level is recorded. Test the hypothesis that there is no difference among the means. Use a = 0.05. Apply p-value approach. Round p-value to nearest thousandth. Show step1-step3. Group1 Group2 Group3 11 8 8 12 3 12 13 10 4 15 6 6 9. 9.

A local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 30 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for the difference in proportions of households that would support starting the school year a week earlier? Find the z-table here. 0.75(1-0.75), 0.56(1-0.56) O (0.75 - 0.56) ±1.65 45 40 0.75(1-0.75) 0.56(1-0.56) O (0.75 - 0.56) ±1.96, 85 85 O (0.75 - 0.56) ±1.65, 0.75(1-0.75) 0.56(1-0.56) + 40 45 O (0.75 - 0.56) ±1.96 0.75(1-0.75)…

A psychologist has developed a mental alertness test. She wishes to study the effects (if any) of type of food consumed on mental alertness. Twenty-one volunteers were randomly divided into two groups. Both groups were told to eat the amount they usually eat for lunch at noon. At 2:00 P.M., all subjects were given the alertness test. Group A had a low-fat lunch with no red meat, lots of vegetables, carbohydrates, and fiber. Group B had a high-fat lunch with red meat, vegetable oils, and low fiber. The only drink for both groups was water. The test scores are shown below. Group A 75 82 96 54 78 59 67 53 97 85 66   Group B 70 80 79 60 62 71 52 69 64 88 51 74 Use a 10% level of significance to test the claim that there is no difference in mental alertness distributions based on type of lunch. (a) What is the level of significance?State the null and alternate hypotheses. Ho: Distributions are different. H1: Distributions are the same.Ho: Distributions are the same. H1:…

A local school board believes there is a difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school- aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let p3= the true proportion of households with school-aged children that would support starting the school year a week early and pw= the true proportion of households without school-aged children that would support starting the school year a week earlier. The P-value for this significance test is 0.000034. Which of the following is the correct conclusion for this test of the hypotheses Ho: P;- Pw=0 and H, P,- Pw0 at the a =…