From the study of the relation between smoking and mortality, male recipients of war pensions were classified according to their smoking habits, that is, either non-smokers or smokers. The sample report to the frequencies falling under each cell frequency are given below: Alive Dead Total Non-smokers Smokers 2 9 11 2 2 5 Total 4 11 15 Does the data above indicate a real difference in the death rate between smokers and non-smokers? Use a = 0.05.
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- The following raw data were collected by a health an analyst from 50 smokers. It represents Risk Index (R.I.) (measured as concentration ratio of certain compounds in the blood) which is used as a strong indicator for getting a cardiovascular (CV) disease. We would like to study the effect of each of the three factors (age, mass, and No. of cigarettes) on the R.I. : Answer the following: 1. Classify the data into 3 groups according to age: Young: age < 35, Middle aged: between 36 and 59, and Old: age > 60. Then study if the Risk Index is affected by age class. 2. Classify the data into 3 groups according to body mass: regular mass <70, fat mass between 71 and 99, and obese mass above 100. Then study if the mass has an influence on the R.I. 3. Produce a linear mathematical model that can predict the R.I. based on age, mass and number of cigarettes per day. Use a confidence level of 99%. 4. Comment on your linear model. Is there an evidence that a nonlinear model shall be…Three sample observations taken for two variables are shown below: X (In $) (In ounces) 2.78 0.60 1.79 1.47 0.80 2.34 When comparing X and Y, which varies the most? What is the value of this statistic (ornitting unit labels such as $, s2, ounces, ounces Ca. Y, 59.1837 Ob. X, 61.7026 CC. Y, 0.8700 Od. None of the answers is correct Ce. X, 0.9801On occasion, medical studies need to model the proportion of the population that has a disease and compare that to observed frequencies of the disease actually occurring. Suppose the end-stage renal failure in south-west Wales was collected for different age groups. Do the data in the table show that the observed frequencies are in agreement with proportion of people in each age group? Test at the 1% level. Renal Failure Frequencies Age group 16-29 30-44 45-59 60-74 75+ Total Observed Frequencies 125 152 134 124 48 583 Expected Proportion 0.23 0.25 0.22 0.21 0.09 State the hypotheses.H0: The observed frequencies in agreement with proportion of people in each age group.Ha: The observed frequencies in agreement with proportion of people in each age group. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to 3 decimal places.χ2 = Calculate the p-value. Round to 3 decimal places.p-value = State your decision.Since p-value α,…
- According to data from the Tobacco Institute Testing Laboratory, a certain brand of cigarette contains an average of 1.4 milligrams of nicotine. An advocacy group questions this figure, and commissions an independent test to see if the the mean nicotine content is higher than the industry laboratory claims. The test involved randomly selecting n = 15 cigarettes, measuring the nicotine content (in milligrams) of each cigarette. The data is given below: 1.8, 1.8, 1.5, 1.1, 1.4, 1.3, 1.3, 1.4, 1.1, 1.3, 1.6, 1.2, 1.8, 1.4, 1.6; Download .csv file Not sure how to perform some of the tasks with R-Studio? Click to learn more (a) Do the data follow an approximately Normal distribution? Use alpha = 0.05. yes (b) Determine the P-value for this Normality test, to at least three decimal places. P (c) Choose the correct statistical hypotheses. O A. Ho: > 1.4, O B. Ho = 1.4, O C. Ho X = 1.4, O D. Ho: X = 1.4, ⒸE. Ho - 1.4 HA: > 1.4 OF. Ho: X > 1.4, HA: X < 1.4 HA: < 1.4 HA: 1.4 HA: X 1.4 HA: X <…A sample of students involved in laboratory accidents was categorized by age. The results appear as: Find the median score130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency 18 0.1385 18 1 21 0.1615 39 2 20 59 3 15 0.1154 4 16 0.1231 90 10 0.0769 100 6 0.1231 116 7 14 0.1077 130 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 5 times per week?
- The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. Teenagers Favoring This Type Music Type Teenagers Surveyed -0.03 0.05 0.47 Pop Rap 600 700 282 350 Find the point estimate of the difference between the two population proportions. 0-0.5130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week 0 Frequency Relative Frequency 17 19 17 19 9 15 0.1308 0.1462 0.1308 Cumulative Frequency 1 2 3 4 5 6 7 19 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 4 times per week? 0.0692 0.1154 0.1154 0.1462 17 36 53 81 96 111 130 %Listed below are the measured radiation emissions (in W/kg) corresponding to cell phones: A, B, C, D, E, F, G, H, I, J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6 W/kg or less. Find the a. mean, b. median, c. midrange, and d. mode for the data. Also complete part e. 0.45 0.77 0.72 0.68 1.53 1.28 0.75 0.99 0.55 0.56 1.12 --..- a. Find the mean. The mean is . (Round to three decimal places as needed.)