3. The "Atkins Dieť" is a diet where one eats predominantly protein and very few carbohydrates. Anutritionist would like to estimate the proportion of students at a small school who have heardof the Atkins diet. The school has a total of N = 1000 students. The nutritionist selects astratified sample of students from the school. Stratum 1 consists of male students. Stratum 2consists of female students. The total number of male students at the school is N = 600, andthe total number of female students is N2 = 400. Independent simple random samples areselected from the two strata. The nutritionist uses proportional allocation to determine thesample sizes for the strata. The total sample size for the survey is n = 200. The sampleproportion of males who have heard of the Atkins diet is p1 = 0.85. The sample proportion offemales who have heard of the Atkins diet is p2 = 0.75.a. What are the sample sizes for the two strata? (Hint: remember that proportionalallocation is used.)b. Consider only the female stratum. Construct a 95% confidence interval for theproportion of female students who have heard of the Atkins diet.c. Estimate the overall proportion of students at the school who have heard of the Atkinsdiet.

The following information has been given: The total number of students N =1000. The total number of…

Answered: 3. The "Atkins Diet" is a diet where…

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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2.) ProportionsOn April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 95% confidence level that the proportion of first-class survivors is the same as .50. What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test? Class Passengers Survived Crew 885 212 First 325 202 Second 285 118 Third 706 178 Total 2201 710
A researcher plans to conduct a survey about drink preference of BSMath students of ABC University. If the population of students is 1500, use the Slovin’s formula to find the minimum sample size if the margin of error is 5%.A. 315 C. 317B. 316 D. 318
In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 200 buses and find that 20 buses fail the safety inspection. If we construct a 95% confidence interval estimate for the true proportion of all Minnesota school buses that fail the safety tests, what is the upper limit of the interval? (Enter you answer including 3 decimal positions, e.g. .234)
A child has an enormous jar in which she has been saving all of her spare change. In order to determine exactly how much money she has in the jar, she dumps all of the coins on the floor and counts them. Under the watchful eye of her mother, she counts 180 pennies, 120 nickels, 100 dimes, and 80 quarters. The data collection method used in this example is called Select one: a. none of these b. random sampling. C. a controlled study. d. e. a census. a survey.
A senior high school teacher is interested in knowing the average number of hours a teacher works in a day. She plans to gather data by choosing every 2n a. Simple Random Sampling b. Systematic Sampling c. Stratified Sampling d. Cluster Sampling d teacher in the school's master list.
A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 95% confident that his estimate is in error by no more than three percentage points? Complete parts (a) through (c) below.Question content area bottomPart 1a) Assume that nothing is known about the percentage of computers with new operating systems. n=enter your response here (Round up to the nearest integer.)Part 2b) Assume that a recent survey suggests that about 96% of computers use a new operating system.n=enter your response here (Round up to the nearest integer.)Part 3c) Does the additional survey information from part (b) have much of an effect on the sample size that is required?A.Yes, using the additional survey information from part (b) dramatically reduces the sample size.B.Yes, using the additional survey information…
Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively. Blood Types A+ A− B+ B− AB+ AB− O+ O− Percent 35.7 6.3 9.5 2.5 3.4 0.8 37.2 4.6 (a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh+?(b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen?(c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh−?
A researcher divided subjects into two groups according to gender and then selected a fixed proportion of members from each group for his sample. What sampling method was the researcher using? A. Stratified sample. B. Simple random sample. C. Voluntary response sample. D. Cluster sample.
A coach is interested in how many slam dunks the average college freshman at his university can do. Ten volunteers from the senior class step forward. After observing their performance, the coach concluded that college seniors can do an average of 10 slam dunks in a row without missing. what is the sample? what is the population?
A company wants to estimate the proportion of young people with their own mobilephone in a municipality. Young people are divided into two age groups: 0-7 years and 7-12 years. In the municipality, there are 40,000 total number of young people and astratified random sample of 2000 young people is chosen with proportional allocation.The result is shown in the table below.
From the given scenario, define the population proportion. In 2019, a national survey organization asked the question "Do you go on more than two vacations per year?" to a random sample of 2,000 Americans. 580 responded "Yes", while the other 1,420 people responded "No". Group of answer choices: A) the proportions of the sampled Americans who go on more than two vacations per year B) the proportion of all Americans who go on more than two vacations per year C) the 1,420 people who responded "No" D) the 2,000 Americans
PREREQUISITE. Determine the percentage of the following numbers. a. 20 is what percent of 100? b. 30 is what percent of 600? ENGAGEMENT: You are to conduct a sampling method using SHS students as your respondents. Using Slovin's formula, calculate how many respondents should be your sampling size in each strand if you are given 10% allowable error. Show your solutions. STRAND ABM GAS HUMMS ICT STEM POPULATION SIZE 162 371 190 53 145 SAMPLING SIZE

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