You want to obtain a sample to estimate theproportion of a population that possess aparticular genetic marker. Based on previousevidence, you believe approximately pof the population have the genetic marker. Youwould like to be 90% confident that your estimateis within 4% of the true population proportion.How large of a sample size is required?*= 18 %n =Do not round mid-calculation. However, you mayuse a critical value accurate to three decimalplaces.

Given that Proportion having genetic marker (p) = 18% = 0.18 Confidence level (C) = 90% The…

Answered: You want to obtain a sample to estimate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 139 items, the defect rate is 8.7% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 1% level of significance, use the critical value method to test the manager's claim. Enter the smallest critical value. (Round your answer to nearest thousandth.)
A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.83 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.) test statitics= critical=
An IQ test is designed so that the mean is 100 and the standard deviation is 13for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that sigmaσequals=13 and determine the required sample size using technology. Then determine if this is reasonable sample size for a real-world calculation. The required sample size is (Round up to the nearest integer.)
In spite of the potential safety hazards, some people would like to have an Internet connectionin their car. A preliminary survey of adult Americans has estimated this proportion to besomewhere around 0.30 (USA TODAY, May 1, 2009). (a)Use the given preliminary estimate to determine the minimum sample size required toestimate the proportion of adult Americans who would like an Internet connection in theircar to within 0.02 with 95% confidence.(b)Use the given preliminary estimate to determine the minimum sample size required toestimate the proportion of adult Americans who would like an Internet connection in theircar to within 0.02 with 99% confidence.
A random sample of 154 recent donations at a certain blood bank reveals that 86 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01. (b) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value =
Your company is ready to launch a new product on the market and it is planning a research study to estimate the percent of potential customers who will likely buy the product in the first six months. Previous research has indicated that with new products of this nature about 20% of the market makes purchases during the first six months. The company wants to measure the true percentage with 90% confidence and a margin of error of 5%. How many samples must be planned in order to satisfy these requirements? Show the formula employed and offer any explanations etc.
What is the standard error for the sample of ducks? show all work. what is the tvalue test stat and critical and t value using a 99 percent CI? show the work for your interval construction. If you were to sample more ducks to increase sample size for the wingspan, how would the 99% CI change compared to the one calcualted above (ex wide/narrow assume the mean and sd retain same values.
A new drug, Drug X, is being tested in a clinical trial to treat patients with high blood pressure. To determine the effectiveness of Drug X, 100 patients are randomly selected and their blood pressure, in millimeters of Hg, are recorded. They are then prescribed with the drug for 10 weeks. After 10 weeks, their blood pressure is recorded again. Which of the following would be the BEST test to use on this type of scenario, assuming the assumptions are met? Two independent sample proportion z-test Chi-square test of homogeneity Analysis of Variance (ANOVA) Paired t-test Chi-square test of independence Two independent sample mean t-test
The quality control manager at a light bulb factory needs to determine whether the meanlife of a large shipment of light bulbs is equal to 450 hours. A random sample of 100 lightbulbs indicates a sample mean life of 465 hours with 60 hours of the sample standarddeviation. At the 0.01 significance, is there evidence that the population mean life is differentfrom 450 hours? Solve this problem based on critical value approach.(Show me every step including pre-step and post-step for full credit)
An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 4 IQ points of the true mean. Assume that sigma equals 17 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. a. The required sample size is (Round up to the nearest integer.)
Every 2 years, the National Assessment of Educational Progress (NAEP) assesses nationally representative samples of students in public and private schools. The NAEP sample of 1077 students in grade 8 in public schools had a mean quantitative score = 275. Because the sample size is large, the sample s is close to the population standard deviation, σ, so take σ = 60. Give a 95% confidence interval for the mean score μ in the population of all young adults. Remember, we are now calculating a range of probable values around our estimate, with Confidence Interval = mean +/- z * (σ / sqrt(n) ), where σ / sqrt(n) is the standard error of the sample mean. In the previous question about the NAEP survey, how does changing the sample size affect the margin of error of a confidence interval? For example, what are the margins of error for samples of size 250, or 4000, compared to 1077?
The quality control engineer should review lots of 200 items each. He decides that his study has a confidence of 95% and allow an error of 5%. Calculate the sample size to inspect a lot when you don't haveprevious information and then decrease the sample size with correction.

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