A research group claims that 20% of patients with dementia never develop full Alzheimer's. In a simple random sample of 1,000 patients with dementia, 150 report that they never develop full Alzheimer's. Test the claim of the research group using a 5% significance level.
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- In your own words, discuss the relationship between a t-test and a confidence interval.A researcher is interested in determining if there is a relationship between exercise and blood pressure for adults over 50. A random sample of 236 adults over 50 is selected and the results are given below. Blood Pressure | Low Moderate High Exercise Walkers Non-walkers | 21 35 62 25 65 28 Test the claim that walking and blood pressure are independent. Use a= 0.01.Question: In a survey of buying habits, 400 women shoppers are chosen at random in super market 'A' located in a certain section of the city. Their average weekly food expenditure is dollar 250 with a standard deviation of Dollar 40. For 400 women shoppers chosen at random in super market 'B' in another section of the city, the average weekly food expenditure is Dollar 220 with a standard deviation of Dollar 55. Test at 1% level of significance whether the average weekly food expenditure of the two populations of shoppers are equal.
- In studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 80%80% confidence interval for the difference. A random sample of 508508 male voters and 605605 female voters was taken. 108108 men and 193193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 2 of 4 : Find the critical value that should be used in constructing the confidence interval.In studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 80%80% confidence interval for the difference. A random sample of 508508 male voters and 605605 female voters was taken. 108108 men and 193193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 1 of 4 : Find the values of the two sample proportions, pˆ1�^1 and pˆ2�^2. Round your answers to three decimal places.In sample 400 parts manufactured by a factory, the number of defective parts was found to be 30. The company, however, claimed that almost 5% of their product is defective. Is the claim tenable?
- A study was done in 1998 by Dr. Benjamin Levine to explore the role of altitude training in athletic performance. First, he trained athletes at low altitude, then measured their finish times in a 5 kilometer run. Then the athletes were placed into one of the following groups: I, living and training at high altitude; Il, living at high altitude and training at low; or Ill, living and training at low altitude. The athletes were then retested in another low-altitude 5 K race. In this study, what are the control and experimental data? What are the dependent and independent variables? The results are expressed as average change in speed of each group. I: -3.4 sec., Il: +13.4 sec., Ill: -26.7 sec. a. Graph and interpret the results. b. Did the results surprise you? Why or why not? c. Explain why the three groups obtained the results presented? d.How did altitude affect blood composition and why? e.How would athletes' performance be affected if they live, train, and compete at different…Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. What is the sample proportion indicating that their financial security was more than fair in 2012? In 2010? Conduct the hypothesis test and compute the p-value. At a .05 level of significance, what is your conclusion? What is the 95% confidence interval estimate of the difference between the two population proportions?What sampling technique is used? In a research class of 40 students, the teacher divides the class into five groups, each with eight members per group. The teacher then asked the class to choose their group members based on interests, compatibility, and rapport. After the selection was made, the teacher realized that the abilities per group were uneven. He then reshuffled some members of the group to achieve equilibrium among the groups. The teacher needs ten students to represent each group. He selected one male and one female from each group based on academic performance, leadership skills, and social skills as qualities that will embody as representatives per group.
- In order to make a survey of the buying habits, two markets A and B are chosen at two different parts of a city. 400 women shoppers are chosen at random in market A. Their average daily expenditure on food is found to be dollar 250 with a standard deviation of Dollar 40. The figures are Dollar 220 and Rs. 55 respectively in the market B where also 400 women shoppers are chosen at random. Test at 1% level of significance whether the average daily food expenditures of the two populations of shoppers are equal?The table below shows data on a subsample of participants in the 7th examination of the Framingham Offspring Study. Characteristic Sample Population Standard n Мean Deviation Systolic Blood 10 121.2 11.1 Pressure Diastolic Blood 10 71.3 7.2 Pressure Total Serum |Cholesterol 10 202.3 37.7 Weight 10 176.0 33.0 Height 10 67.175 4.205 Body Mass Index 10 27.26 3.10 Which of the following is the 95% confidence level for Total Serum Cholesterol 201.55, 203.05 202.15, 202.45 171.59, 233.01 178.93, 225.67The table below shows data on a subsample of participants in the 7th examination of the Framingham Offspring Study. Characteristic n Sample Population Standard Мean Deviation Systolic Blood 10 121.2 11.1 Pressure Diastolic Blood 10 71.3 7.2 Pressure Total Serum 10 202.3 37.7 Cholesterol Weight 10 176.0 33.0 Height 10 67.175 4.205 Body Mass 10 27.26 3.10 Index Which of the following is the 95% confidence level for Systolic Blood Pressure 114.32, 128.08 120.98, 121.42 121.16, 121.24 112.16, 130.24