A researcher wishes to estimate, with 90% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 1% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 46% of the respondents said they eat fast food four to six times per weck. (c) Compare the results from parts (a) and (b).

A researcher wishes to estimate, with 90% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 1% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 46% of the respondents said they eat fast food four to six times per weck. (c) Compare the results from parts (a) and (b).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

See similar textbooks

Related questions

Q: A simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on…

A: The given values are: n=10,x¯=62.2,s=15.8.

Q: The following is a set of hypotheses, some information from one or more samples, and a standard…

A: n1=130p^1=0.16n2=100p^2=0.21 The standard error of p^1-p^2 from the randomization is 0.05.

Q: L1. Using the central limit theorem, show that, for large n, the binomial distribution B(n, p)…

A: Using the central limit theorem, show that, for large n, the binomial distribution B(n, p)…

Q: Calculate the mean and variance for the binomial distribution, n=19, P =0.18

A: Answer: From the given data, Sample size(n) = 19 P = 0.18 and q = 1 - p = 1 - 0.18 = 0.82

Q: As a rule of thumb, we can apply the Central Limit Theorem for Sample Means for population…

A: Let Xi be the random variable, such that i=1,2,...,n and E(Xi)=μ, V(Xi)= σ2 When n be large then…

Q: 1. Consider the model y = Bo+B₁x +€. Explain in your own words what the central limit theorem tells…

A: step-by-step explanation of the central limit theorem in the context of the model y = βo + β1x + e:…

Q: 1) Find the number of ways to arrange the word PROBABILITY

A: " PROBABILITY " letter ' B ' is repeated 2 times letter ' I ' is repeated 2 times Total no.of…

Q: For a normal variable X~ N(μ = 70.7,o= 17.04), find 0.74, the value that divides the area u density…

A: A normal variable X follows normal distribution with parameters μ=70.7 and σ=17.04.

Q: Consider the following game. A fair coin is flipped until the first tail appears; we win $2 if it…

A: Let's first find the probability that the first tail appears on the k-th toss. Since the coin is…

Q: The mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.5…

A: Mean(μ)=19.5 standard deviation(σ)=0.2

Q: ob didn't wear his lucky shirt to class, so he failed the test. This best illustrates which fallacy?…

A: The post hoc fallacy happens when someone believes that one event led to another just because the…

Q: In a random sample of males, it was found that 26 write with their left hands and 212 do not. In a…

A: The CI shows the range of values in which the pop. parameter value lie with certain confidence.

Q: The necessary value for Za/2 was determined to be 1.645. Recall the given information. Sample 1…

A: Zcritical=1.645 at level of significance ɑ=0.10 for two tailed

Q: . Which method is preferred if the procedure must be completed within 27 minutes? Which procedure is…

A: The times for a medical procedure for two methods are given. For method A, Mean = 25 minutes sd = 8…

Q: 4% of the true proportion. A researcher wishes to estimate, with 90% confidence, the population…

Q: A student running for a position in student government believes that 55% of the student body will…

A: c. Suppose p is the true population proportion of student bodies, who will vote for the student…

Q: following number of millionaires for samples of individuals from each Millionaire San Jose, CA Yes…

A: Obtain the value of the test statistic. The value of the test statistic is obtained below as…

Q: 5 REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has…

A: As per the Bartleby guildlines we have solve first question and rest can be reposted.... We have to…

Q: Determine if the following statement is true or false. If you believe that the statement is false,…

A: Small values of χ2 imply that the null hypothesis in a chi-squared test is true. To determine if the…

Q: Calculate a 95% confidence interval for the mean number of bees in the population data provided: 7,…

A: The confidence level is 0.95. The sample size n=32 The given data is as follows, 7 7 14 16…

Q: a hung jury is one that is unable to reach a unanimous decision. Suppose that a pool of twenty-five…

A: The population size is 25, and the sample size is 12.

Q: X is a random variable follows a Poisson distribution with a mean of 5 Find the probability p(x =…

A: Answer: From the given data, X follows Poisson distribution, mean (μ) = λ = 5 X = 4

Q: (a) A 95% confidence interval for the mean μ of a population is computed from a random sample and…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: NT #2 You wish to test if the proportion of adults in a small town who are fully vaccinated differs…

Q: You work for an insurance company and are studying the relationship between types of crashes and the…

A: The data table provided in the question is as follows :- Vehicle Type of crash Car Pickup…

Q: A new beta-blocker medication is being tested to treat high blood pressure. Subjects with high blood…

A: n1=160, n2=290 x1=80, x2=159 Significance level: α=0.01

Q: In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: Sample of size n=334 people with favourable number of people had flu x=31 Then the proportion of…

Q: Mr. Guo and Mr. Lange are interested in studying TV failure rates across different brands. They…

A: Total number of TVs selected=12046 Failures of brand 1=7482 Failures of brand 2=6993 proportion of…

Q: Define the random variable and state the distribution for C only

A: Here Given in large forest wall nut tree appears at an average 22 trees per acre. NOTE-AS PER…

Q: About% of the area is between z=-1and z=1 (or within 1 standard deviation of the mean). (Round to…

A: here given z = 1 and z= -1 area between two z score value represent by probability .

Q: Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge…

Q: The probability that a randomly chosen sales prospect will make a purchase is 20%. What is the…

A: Obtain the probability that the salesperson will make four or more sales if six sales calls are made…

Q: The effect of drugs and alcohol on the nervous system has been the subject of considerable research.…

A: 1. Claim: The research neurologist wants to test whether the mean response time for drug-injected…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34…

A: Answer: From the given data, The mean daily production of a herd of cows is assumed to be normally…

Q: cal values for quick reference during this activity. nfidence level Critical value 30 = 1.645 95 99…

A: We have given that, Confidence interval = 99% or 0.99 and margin of error (E) = 2.83% = 0.0283

Q: the Stanley Cup playoffs in professional hockey is a seven-game series, where the first team to win…

A: Since the two teams are evenly matched, the probability of either team winning a game is 0.5. We can…

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

A: It is given that a legitimate probability distribution for the discrete random variable X whose…

Q: The average amount of money spent for lunch per person in the college cafeteria is 56.28 and the…

A: As per our guidelines we are suppose to answer only one question. Sample size(n)=9 Mean(μ)=$6.28…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30…

A: Answer: From the given data, Mean (μ) = 30 Standard deviation(σ) = 10 X follows normal…

Q: Q. 2) Find the prob. of getting a total of 11: a) once b) twice, in two tosses of a pair dice? "

A: Q.2 A pair of fair dice is rolled then the sample space S: {(1, 1), (1, 2), (1, 3), (1, 4),…

Q: p. P(Z ≥ 1.4) = Ketch the curve corresponding to this probability Shade: Left of a value -4 -3 -2 ✓.…

A: Z has follows standard normal distribution with mean zero and standard deviation one.

Q: A recent survey 1090 employees found that 48% of them would lay off their bosses if they could,…

A: Answer: From the given data, Let X: Number of employees lay off their bosses if they could Here, X…

Q: Current Attempt in Progress State whether the process described is a discrete random variable, is a…

A: State whether the process described is a discrete random variable, a continuous random variable, or…

Q: In a recent study on world happiness, participants were asked to evaluate their current lives on a…

A: Answer: From the given data, Let X: Happiness score X is normally distributed with Mean μ = 5.4…

Q: Draw a normal distribution sketch that has the same mean and standard deviation as the sample.…

A: The mean of the normal distribution, μ=67 The standard deviation of the normal distribution, σ=84

Q: What is the lower limit of the 99% confidence interval for a population variance when s=3 and n=20?

A: Standard deviation s=3 Sample size n =20 99% confidence level. NOTE:- According to bartleby…

Q: f(x) = 5x³ for 0<x<2. A random sample of observations obtained from this population are listed as…

Q: A and B are two events with P(A) = 0.36, P(A and B) = 0.23, P(A|B) = 0.44 Find P(B) Round to two…

Q: A recent survey 1090 employees found that 45% of them would lay off their bosses if they could,…

A: Answer: From the given data, Sample size(n) = 16 p = 45% = 0.45 X follows binomial distribution(n,p)

Question

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample size needed, using a prior study that found that 46% of the respondents said they eat fast food four to six times per weck.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution