Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 5, Problem 57P
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You want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately p∗=11% of the population have the genetic marker. You would like to be 90% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required?n = (Wrong: 10,603)
Do not round mid-calculation. However, you may use a critical value accurate to three decimal places.
Chapter 5 Solutions
Fundamentals of Biostatistics
Ch. 5.4 - What is the difference between a...Ch. 5.4 - Suppose a continuous random variable can only take...Ch. 5.4 - What is a standard normal distribution?Ch. 5.4 - (a) What is the area to the left of 0.2 under a...Ch. 5.4 - (a) What is z.30? What does it mean? (b) What is...Ch. 5.5 - What is the difference between a standard normal...Ch. 5.5 - What does the principle of standardization mean?Ch. 5.5 - Suppose the distribution of serum-cholesterol...Ch. 5.8 - Why do we use the normal approximation to the...Ch. 5.8 - Prob. C.2RE
Ch. 5.8 - The prevalence of glaucoma among the elderly in...Ch. 5.8 - The number of deaths from heart failure in a...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Because serum cholesterol is related to age and...Ch. 5 - Suppose that total carbohydrate intake in 12- to...Ch. 5 - Suppose that total carbohydrate intake in 12- to...Ch. 5 - Suppose boys in this age range who live below the...Ch. 5 - Suppose boys in this age range who live below the...Ch. 5 - A study was conducted assessing the effect of...Ch. 5 - A study was conducted assessing the effect of...Ch. 5 - The duration of cigarette smoking has been linked...Ch. 5 - The duration of cigarette smoking has been linked...Ch. 5 - Serum cholesterol is an important risk factor for...Ch. 5 - Serum cholesterol is an important risk factor for...Ch. 5 - Serum cholesterol is an important risk factor for...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - People are classified as hypertensive if their...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - Forced expiratory volume (FEV) is an index of...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - The differential is a standard measurement made...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - In pharmacologic research a variety of clinical...Ch. 5 - Blood Chemistry In pharmacologic research a...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - Is the measure in Problem 5.38 a measure of...Ch. 5 - A treatment trial is proposed to test the efficacy...Ch. 5 - Refer to the pulmonary-function data in the Data...Ch. 5 - Prob. 43PCh. 5 - Refer to the pulmonary-function data in the Data...Ch. 5 - Prob. 45PCh. 5 - A clinical trial was conducted to test the...Ch. 5 - Well-known racial differences in blood pressure...Ch. 5 - Well-known racial differences in blood pressure...Ch. 5 - Prob. 49PCh. 5 - Suppose we observe 84 alcoholics with cirrhosis of...Ch. 5 - What is the probability of observing at least 29...Ch. 5 - Suppose we observe 84 alcoholics with cirrhosis of...Ch. 5 - FIGURE 5.22 Plasma-aldosterone concentrations in...Ch. 5 - FIGURE 5.22 Plasma-aldosterone concentrations in...Ch. 5 - Pregnant women with gestational diabetes mellitus...Ch. 5 - Officials in the State Health Department are...Ch. 5 - Prob. 57PCh. 5 - A study was conducted relating particulate air...Ch. 5 - Prob. 59PCh. 5 - Refer to Data Set VALID.DAT (at...Ch. 5 - Refer to Data Set VALID.DAT (at...Ch. 5 - Prob. 62PCh. 5 - A study concerned the risk of cancer among...Ch. 5 - Prob. 64PCh. 5 - A doctor diagnoses a patient as hypertensive and...Ch. 5 - A doctor diagnoses a patient as hypertensive and...Ch. 5 - Suppose the physician is not sure whether the...Ch. 5 - A study compared different treatments for...Ch. 5 - A study compared different treatments for...Ch. 5 - A study compared different treatments for...Ch. 5 - Obesity is an important determinant of...Ch. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Answer the question in Problem 5.75 for a binomial...Ch. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Retinitis pigmentosa (RP) is a genetic ocular...Ch. 5 - Prob. 87PCh. 5 - Prob. 88PCh. 5 - Prob. 89PCh. 5 - Physicians recommend that children with type-I...Ch. 5 - Physicians recommend that children with type-I...Ch. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - Prob. 94PCh. 5 - Prob. 95PCh. 5 - A previous study found that people consuming large...Ch. 5 - A previous study found that people consuming large...Ch. 5 - Prob. 98PCh. 5 - A study was recently published in Western...Ch. 5 - Prob. 100PCh. 5 - Prob. 101PCh. 5 - Prob. 102PCh. 5 - Prob. 103PCh. 5 - Prob. 104PCh. 5 - Prob. 105PCh. 5 - What is the 40th percentile of a normal...Ch. 5 - What is the sum of the 40th and 60th percentiles...Ch. 5 - What is z.90?Ch. 5 - A study was performed of different predictors of...Ch. 5 - A study was performed of different predictors of...Ch. 5 - Prob. 111PCh. 5 - Prob. 112PCh. 5 - Cancer The Shanghai Womens Health Study (SWHS) was...Ch. 5 - Prob. 114PCh. 5 - Prob. 115PCh. 5 - Prob. 116PCh. 5 - Prob. 117PCh. 5 - Prob. 118PCh. 5 - Prob. 119PCh. 5 - Prob. 120PCh. 5 - Prob. 121PCh. 5 - Prob. 122PCh. 5 - Prob. 123PCh. 5 - Prob. 124PCh. 5 - Hypertension Blood pressure readings are known to...Ch. 5 - Prob. 126PCh. 5 - Prob. 127PCh. 5 - Prob. 128PCh. 5 - Prob. 129PCh. 5 - Prob. 130P
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- 2. [20] Let {X1,..., Xn} be a random sample from Ber(p), where p = (0, 1). Consider two estimators of the parameter p: 1 p=X_and_p= n+2 (x+1). For each of p and p, find the bias and MSE.arrow_forward1. [20] The joint PDF of RVs X and Y is given by xe-(z+y), r>0, y > 0, fx,y(x, y) = 0, otherwise. (a) Find P(0X≤1, 1arrow_forward4. [20] Let {X1,..., X} be a random sample from a continuous distribution with PDF f(x; 0) = { Axe 5 0, x > 0, otherwise. where > 0 is an unknown parameter. Let {x1,...,xn} be an observed sample. (a) Find the value of c in the PDF. (b) Find the likelihood function of 0. (c) Find the MLE, Ô, of 0. (d) Find the bias and MSE of 0.arrow_forward3. [20] Let {X1,..., Xn} be a random sample from a binomial distribution Bin(30, p), where p (0, 1) is unknown. Let {x1,...,xn} be an observed sample. (a) Find the likelihood function of p. (b) Find the MLE, p, of p. (c) Find the bias and MSE of p.arrow_forwardGiven the sample space: ΩΞ = {a,b,c,d,e,f} and events: {a,b,e,f} A = {a, b, c, d}, B = {c, d, e, f}, and C = {a, b, e, f} For parts a-c: determine the outcomes in each of the provided sets. Use proper set notation. a. (ACB) C (AN (BUC) C) U (AN (BUC)) AC UBC UCC b. C. d. If the outcomes in 2 are equally likely, calculate P(AN BNC).arrow_forwardSuppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. Click here to view the table of critical values for normal probability plots. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. 0.191 0.186 0.201 0.2005 0.203 0.210 0.234 0.248 0.260 0.273 0.281 0.290 0.305 0.310 0.308 0.311 Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) ○ A. Yes. The correlation between the expected z-scores and the observed data, , exceeds the critical value, . Therefore, it is reasonable to conclude that the data come from a normal population. ○…arrow_forwardding question ypothesis at a=0.01 and at a = 37. Consider the following hypotheses: 20 Ho: μ=12 HA: μ12 Find the p-value for this hypothesis test based on the following sample information. a. x=11; s= 3.2; n = 36 b. x = 13; s=3.2; n = 36 C. c. d. x = 11; s= 2.8; n=36 x = 11; s= 2.8; n = 49arrow_forward13. A pharmaceutical company has developed a new drug for depression. There is a concern, however, that the drug also raises the blood pressure of its users. A researcher wants to conduct a test to validate this claim. Would the manager of the pharmaceutical company be more concerned about a Type I error or a Type II error? Explain.arrow_forwardFind the z score that corresponds to the given area 30% below z.arrow_forwardFind the following probability P(z<-.24)arrow_forward3. Explain why the following statements are not correct. a. "With my methodological approach, I can reduce the Type I error with the given sample information without changing the Type II error." b. "I have already decided how much of the Type I error I am going to allow. A bigger sample will not change either the Type I or Type II error." C. "I can reduce the Type II error by making it difficult to reject the null hypothesis." d. "By making it easy to reject the null hypothesis, I am reducing the Type I error."arrow_forwardGiven the following sample data values: 7, 12, 15, 9, 15, 13, 12, 10, 18,12 Find the following: a) Σ x= b) x² = c) x = n d) Median = e) Midrange x = (Enter a whole number) (Enter a whole number) (use one decimal place accuracy) (use one decimal place accuracy) (use one decimal place accuracy) f) the range= g) the variance, s² (Enter a whole number) f) Standard Deviation, s = (use one decimal place accuracy) Use the formula s² ·Σx² -(x)² n(n-1) nΣ x²-(x)² 2 Use the formula s = n(n-1) (use one decimal place accuracy)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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