Infectious DiseaseOne hypothesis is that gonorrhea tends to cluster in central cities.You may need to use the appropriate technology to answer this question.Suppose 10 gonorrhea cases are reported over a 3-month period among 10,000 people living in an urban county. The statewide incidence of gonorrhea is 40 per 100,000 over a 3-month period. Is the number of gonorrhea cases in this county unusual for this time period? (Use the Poissonapproximation to the binomial distribution. Round your answer to four decimal places.)The number of gonorrhea cases in this county over this time period is✓ unusual, since the probability of observing at least 10 cases isNeed Help? Readiwhich is small since it less than 0.05

Given: The statewide incidence of gonorrhea is 40 per 100,000. This implies: p=40100000=0.0004

Answered: One hypothesis is that gonorrhea tends…

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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Section 2.1, question 10
Example 2 (a). Show that the sample mean x is an unbiased estimator of 1/0 for distribution.
A researcher wanted to use a random sample of 20 Spotify Songs to estimate the average Duration (in minutes) and average Tempo (in bpm) for the population of all songs on Spotify. The researcher does not have any additional information about the population of all Spotify Songs. The data set is called SongSample1. Based on the above scenario, which method of statistical inference do you believe the researcher will consider completing this estimation? Answer this question in one sentence and provide a reason for your choice. If we attempt to conduct statistical inference using the collected sample, what are the two parameters of interest to the researcher? Use the correct symbols and describe the parameters in context in one sentence each. Check the following conditions necessary to consider conducting inference using theory-based methods and the t-distribution. There are three to consider: (1) Was a random sample collected; (2) Is the population where the sample comes from…
Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 221 numerical entries from the file and r = 52 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 29 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance?=___ What is the value of the sample test statistic? (Round your answer to two decimal places.)=___(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)=___
A university is planning to teach classes via distance-education. The university has one technical assistant who can help faculty members who experience technical difficulties. At any given time, there are 100 distance-education classes being taught, and each class has approximately a 6% chance of having a technical problem at some point during the class (assume that all classes are 1.5 hours in duration). i. What is the approximate average rate that technical problems occur? ii. Assume that technical problems occur according to a Poisson process with a rate given by your answer in part (i). Service times to fix a problem are exponentially distributed with a mean of 12 minutes. If the professor is broadcasting his lecture via distance-education tools and a technical problem occurs, what is the average amount of lost class time?
Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0 would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. ***Must show work on PDF for completing this computational table and for the following 9 questions*** Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29 Switzerland 11 43 Laos 6 45…
QUESTION 1 Increasing sample size, increases error. O True O False QUESTION 2 Decreasing sample size, decreases error. True False QUESTION 3 Increasing sample size, decreases error. True False
A population with u = 45 and o = 10 is standardized to create a new distribution withu= 100 and o = 20. In this transformation, a score of X = 15 from the original distribution will be transformed into a score of X =.
Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.306. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 219 numerical entries from the file and r = 49 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.Test the claim that p is less than 0.306. Use ? = 0.05. (a) What is the level of significance?State the null hypothesis H0 and the alternate hypothesis H1 . H0 : p H1 : p (b) What sampling distribution will you use? The Student's tThe standard normal since np…
Question 2 At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population. 1. Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable. 2. 3. 4. Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain. Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response. Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for…
Question 4 a) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She wants to estimate the mean of the population of relief times. She believes that the population is normally distributed with a population standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 95% confidence? b) An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 320 people living in East Vancouver and finds that 40 have recently had the flu.Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.05. How large a sample should…

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