Construct a 2 x 2 table based on the data provided
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A: Blood pressureDietary Cholestrol High LowTotalHigh15991250Low78172250Total237263500
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Q: Find the relative risk for the headache data.
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Q: Cff= common cause failures
A: EXPLANATION using reference document.Reference:…
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A: Sample mean, x¯=65 Sample sd, s=35.3
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A: n1=n2=28 X1-bar=15.2 X2-bar=12.3 S1=2.5 S2=1.9
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A: The hypotheses are; H0: M ≥ 3.80 Ha: M < 3.80 This is a lower-tailed test.
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A: Givenx=39n=600p^=xn=39600=0.065
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The 5-year incidence of cardiovascular disease (CVD) in relation to smoking status was determined in a population sample of 1000 men, 18 years and older. At baseline, 30% of the men were classified as being current smokers and 70% as being non-smokers. At the end of the follow-up, 60 CVD
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- 2. Metal Tags on Penguins and Survival. Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Test whether the survival rate is lower among metal- tagged penguins than among electronic-tagged penguins. Use subscripts E for Electronic and M for Metal. a. State hypotheses. b. Calculate the sample statistic PE - PM c. Use Normal distribution methods to calculate a z-test statistic, given SE = 0.0898. d. Find the p-value and draw a Normal curve with z-statistic and appropriate shaded region. Normal curve: p-value: e. State the conclusion of the test in context, using nontechnical language. f. Find a 90% confidence interval to three decimal places for this difference in proportions, given SE= 0.08836. Show your…1) A series of experiments were conducted to determine the effect of air voids on percentage retained strength of asphalt. For purposes of the experiment, air voids are controlled at three levels; low (1-3%), medium (4-6%), and high (7-9%). The data are shown in Table 1. Do the different levels of air voids significantly affect mean retained strength? Use a = 0.05. Table 1: Results of the air voids effect on percentage retained strength of asphalt Air Voids Low Medium High 106 80 78 90 69 80 Retained Strength (%) 103 94 62 90 91 69 79 70 76 88 83 85 92 87 69 95 83 85In a recent study on American sleep habits, 1300 adults were asked questions about their sleep cycles. The study found that 39 % say they get sleepy on the job and their work suffers at least a few days each month. An additional 21 % said the problems occur a few days each week and 9 % say sleepiness on the job is a daily occurrence. For the remaining respondents, sleepiness was not a problem at all. Summarize the given information by filling out the frequency and relative frequency distribution table. Sleepy At Work? Frequency Relative Frequency Not at all A few days each month A few days each week Daily
- The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.A clinical psychologist is investigating the relationship between sleep and feelings ofanxiety. For a sample of 15 individuals, he asks each participant to indicate how many hours theytypically sleep each night and each participant also completes an anxiety assessment. The followingdata is obtained:Hours of sleep: M=6.0 SS=16.0Anxiety scores: M=8.0 SS=64.0SP = - 20.0 a. Compute the correlation between hours of sleep and anxiety scores.A sample of 250 employees of a company is selected, and the average age is found to be 35 years. This value is a statistic or parameter.
- According to a very large poll in 2015, about 90% of homes in California had access to the internet. Market researchers wonder if that proportion is now higher, so they take a random sample of 200 homes in California and find that 196 have access to the internet. They want to use this sample data to test H0:p = 0.9 versus Ha:p > 0.9, where p is the proportion of California homes with internet access. Which conditions for performing this type of significance test have been met? Choose all answers that apply. I. The data is a random sample from the population of interest. II. np ≥ 10 and n (1 - p) ≥ 10 III. Individual observations can be considered independent.In a study of how depression may affect one's ability to survive a heart attack, the researchers reported the ages of the two groups they examined. The mean age of 2397 patients without cardiac disease was 69.8 years, while for the 450 patients with cardiac disease, the mean age was 74.0, respectively. Furthermore, 32% of the diseased group were smokers, compared with only 23.7% of those free of heart disease. (1) Determine a 96% confidence interval for the difference in the proportions of smokers in the two groups. (ii) Indicate whether the two groups in the study were different. State the assumptions in order to proceed with the confident interval construction. (ii)As part of the National Health Interview Survey, occupational injury data were collected on thousands of American workers. The table summarizes part of the data. Self-employed Employed by others injured 210 4391 Not injured 33724 421502 Total 33934 425893 What’s the relative risk of being injured in self-employed workers versus workers employed by others? Choose from following options. a. 0.2 b. 0.6 c. 0.8
- A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…A food-frequency questionnaire is used to measure dietary intake. The respondent specifies the number of servings of various food items they consumed over the previous week. The dietary cholesterol is then quantified for each respondent. The researchers were interested in assessing if there was an association between dietary cholesterol intake and high blood pressure. In a large sample of individuals who had completed the questionnaire, 250 persons with a high dietary cholesterol intake (greater than 300 mg /day) were selected and 250 persons with a low dietary cholesterol intake (less than 300 mg/day) were selected. The 500 selected participants had their medical history taken and were classified as having normal or high blood pressure. The data are given here. Dietary Cholesterol Blood Pressure Total High Low High 159 91 250 Low 78 172 250 Total 237 263 500 Test 2: two-tailed test for comparing two independent proportions Clearly state…A researcher believes that there may be a negative association between the quantity of fertilizer used and the percentage of the population who live in rural areas in different countries. The data below shows the percentage of the population who live in rural areas and the fertilizer use measured in kg per hectare, for a random sample of 11 countries. 33%= 76kg, 6%=44kg, 58%= 6kg, 35%=68kg, 81%=3kg, 69%=10kg, 61%=7kg, 7%=176kg,74%=5kg, 71%=137kg, 17%=157kg Use the Spearman's rank order coefficient method to affirm or disagree with the researchers assumption.