3. A computer manufacturer ships laptop computers with the batteries fully charged so that customers can begin to use their purchases right out of the box. In its last model, 85% of customers received fully charged batteries. To simulate arrivals, the company shipped 100 new model laptops to various company sites around the country. Of the 100 laptops shipped, 96 of them arrived reading 100% charged. Do the data provide evidence that this model's rate is at least as high as the previous model? Test the hypothesis at a=0.05.
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- The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 26 records of automobile driver fatalities in Kit Carson County, Colorado, showed that 14 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. Since the sampling distribution of p̂ is the normal distribution, you can use critical values from the standard normal distribution as shown in the table of critical values of the z distribution. (Round the test statistic and the critical value to two decimal places. Round the P-value to four decimal places.) test statistic = critical value = P-value =Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 78 stocks traded on the NYSE that day showed that 26 went up.You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of α=0.01What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject…A clinician interested in agoraphobia (fear of public places) tests a new treatment method. She samples five agoraphobics from her clinic and has them report how many times they ventured out of their houses (on their own) in the past month. They then received relaxation training and were introduced to trips away from their homes at gradually increasing durations. After 2 months, subjects again reported how many times they ventured (on their own) out of their houses. The data are below. Assess whether there is a significant change in trips outside the home from before to after therapy. a. Report and interpret an effect size b. what type of error might you be making?
- A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 70% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 60 high school students, it was found that only 34 of them followed the news about Egypt closely during this time. Describe how to perform one repetition of a simulation of the proportion of high school students who followed the Egyptian Revolution using blue and yellow poker chips and, once you had results, how to estimate the p-value.A physical therapist claims that 75% of people lose their balance if they close their eyes while standing on one foot. A gymnast feels that the rate is less than 75%. To test this, she randomly selects 100 people and finds that 80 of them lose their balance while standing on one foot. To determine if these data provide convincing evidence that the proportion of people who lose their balance while standing on one foot and closing their eyes is less than 75%, 150 trials of a simulation are conducted. The gymnast is testing the hypotheses: H0: p = 75% and Ha: p < 75%, where p = the true proportion of people who will lose their balance while standing on one foot and closing their eyes. Based on the results of the simulation, what is the estimate of the P-value of the test? A) 0.1133 B) 0.17 C) 0.887 D) 0.92We want to know if students with bronchitis at 5 years have more cough symptoms when they grow up. Out of 290 children with Bronchitis at Age 5, 32 of them has cough symptoms at Age 12. Out of 970 children with no Bronchitis at Age 5, 43 of them has cough symptoms at Age 12. Is the cough symptom equally prevalent in both populations?
- Regardless of age, about 20% of American adults participate in fitness activities at least twice a week. However, these fitness activities change as the people get older, and occasionally participants become nonparticipants as they age. In a local survey of n = 100 adults over 40 years old, a total of 15 people indicated that they participated in a fitness activity at least twice a week. Do these data indicate that the participation rate for adults over 40 years of age is significantly less than the 20% figure? Calcu- late the p-value and use it to draw the appropriate conclusions.A study is run to evaluate the effectiveness of an exercise program in reducing systolic Ate blood pressure in patients with pre-hypertension. A total of 15 patients with pre- 12 hypertension enrolled in the study, and their systolic blood pressures are measured. Each patient then participated in an exercise training program where they learned proper techniques and execution of a series of exercises. Patients were instructed to do the exercise program three times per week for six weeks. After six weeks, systolic blood pressures were again measured, and data were recorded. This study sought to determine if there is a difference in systolic blood pressures after participating in the exercise program as compared to before. What is the most appropriate statistical test to be used to answer the research objectives? a. Spearman Correlation Coefficient b. Pearson Correlation Coefficient c. Wilcoxon Signed Ranks Test d. Mann-Whitney U TestMany investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 70 stocks traded on the NYSE that day showed that 8 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.005α=0.005.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null…
- Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 50 stocks traded on the NYSE that day showed that 12 went up.You are conducting a study to see if the proportion of stocks that went up is significantly less than 0.3. You use a significance level of α=0.01.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to…Since muscle tension in the head region has been associated with tension headaches, a researcher reasoned that if the muscle tension could be changed, perhaps the headaches would also be changed. The researcher designed an experiment in which nine subjects with tension headaches participated. The subjects kept daily logs of the number of headaches they experienced during a 2-week baseline period. Then the researcher trained them to change their muscle tension in the head region, using a biofeedback device. For this experiment, the biofeedback device was connected to a muscle in the forehead region. The device indicated the subject's amount of tension in the muscle to which it was attached and helped them achieve low tension levels. After 6 weeks of training, during which the subjects became successful at maintaining low muscle tension, they again kept a 2-week log of the number of headaches experienced. The following are the number of headaches recorded during each 2-week period.…People gain weight when they take in more energy from food than they expend. Researchers wanted to investigate the link between obesity and energy spent on daily activity. Choose 20 healthy volunteers who don't exercise. Deliberately choose 10 who are lean and 10 who are mildly obese but still healthy. Attach sensors that monitor the subjects' every move for 10 days. The table below presents data on the time (in minutes per day) that the subjects spent standing or walking, sitting, and lying down. Is there a significant difference between the mean times the two groups spend lying down? Let ?1 be the mean time spent lying down by the lean group, and ?2 be the mean time for the obese group. Time (minutes per day) spent in three different postures by leanand obese subjects Group Subject Stand/Walk Sit Lie Lean 1 509.100 366.300 554.500 Lean 2 603.925 374.512 452.650 Lean 3 322.212 580.138 533.362 Lean 4 581.644 362.144 489.269 Lean 5…