A 95% confidence interval for p the proportion of supermarket customers who do not buy house-brand products at all is calculated as 32%. With a margin of error of E=±4%, z*=1.96 for a 95% C.L. a) The population proportion is b) The unbiased point estimator is e) What sample size is needed for a 95% confidence level (z*=1.96) and margin of error of E=±2% and sample proportion of 32%? Round your answer to the next whole number.

A 95% confidence interval for p the proportion of supermarket customers who do not buy house-brand products at all is calculated as 32%. With a margin of error of E=±4%, z=1.96 for a 95% C.L. a) The population proportion is b) The unbiased point estimator is e) What sample size is needed for a 95% confidence level (z=1.96) and margin of error of E=±2% and sample proportion of 32%? Round your answer to the next whole number.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

See similar textbooks

Related questions

Q: You select a family with three children. If M represents a male child and F a female child, the set…

A: Given: Sample space = {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF} =8 M represents a male child F a…

Q: 7. What percent of cups will receive less than 11. 25 oz of soda? 8. Tests show that the amount of…

Q: A single die is rolled twice. Find the probability of rolling a 1 the first time and a 5 the second…

A: Answer: The probability of rolling a 1 the first time and a 5 the second time is 1/36.

Q: In a flow system, the arrival rate to a particular station is 40 units per hour. The station has 4…

A: Given:- Average rate of arrival λ = 40 / hr. Average rate of service…

Q: Two fair dice are thrown. Given that the first shows 3, what is the probability that the

A: Given information: The outcomes for tossing two fair dice, Total outcomes is 36. The outcomes for…

Q: Suppose that X and Y have the joint probability mass function x+y = 1,2,3 and y = 1, 2 (and P(X= x,…

A: Given that Joint probability mass function of X and Y is f(X = x , Y = y) = (x + y)/21 , x = 1,2,3…

Q: Consider the pmf: f(x) = P(X = x) x, if x = {1, 2, 3} € 0, otherwise. Show that P(X = x) is indeed a…

A: Answer: - Given, the probability mass function f(x) = P(X = x) = 16xif x ∈{1, 2,…

Q: Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of…

A: Here, we have a table given. We are supposed to find the prbability that these parents have given…

Q: Problem 3 Let X₁,..., Xn be independent random variables with values in N.. Suppose they all have…

A: It is given that Xi, i = 1, 2, ......, n are from same distribution and are independent. This…

Q: Suppose you have a standard 52-card deck (four suits - spades, clubs, diamonds, hearts. 13 cards of…

A: Selection, election, collection - these three things combine into combination. For example, let us…

Q: 0 1 A class's quiz grades are normally distributed with a mean of 72.5% and a standard deviation of…

A: According to the given information in this question We need to answer two parts

Q: Twenty-five percent of the academic staff of a large faculty are non-teaching academic staff. A…

Q: (a) Pr(X>0), (c) Pr(X2) (d) Pr(X<-4),

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: C) Checking Understanding with an additional example: 1) Below is a table that lists all the…

A: 1) When flipping a four coins, the total outcomes are 24=16 Macro-state: Macro-state is the overall…

Q: What do you think of the following 'proof' by Lewis Carroll that an urn cannot contain two balls of…

Q: The stemplot below shows the number of wins for each of the 30 Major League Baseball teams in 2009.…

Q: Suppose that we check for clarity in 50 locations in Lake Tahoe and discover that the average depth…

Q: The joint probability function of a & b is f(a,b) = (1/64)*(a+5b) for 1< a < 5 and 0 < b < 2. Find…

A: The joint probability density function is given f(a,b) = 1/64*(a+5b)

Q: A researcher surveyed the households in a small town. The random variable X represents the number of…

Q: Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval…

A: given data, no. of success=x=97n=285p^=xn=97285=0.3404 CI:=0.99α=1-0.99=0.01

Q: 5. Let X₁, X₂,..., X100 be the weights of 100 bales of hay. Assume that the random variables are…

A: Introduction:

Q: A pseudo-random signal (S) of -3 or 3 is transmitted over a noisy channel. S=-3 is transmitted with…

A: From the given information, A pseudo-random signal (S) of -3 or 3 is transmitted over a noisy…

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: Given First Question) Given Xbar=5.2 Standard deviation=0.7

Q: Prove that P(A | B) = P(B | A)P(A)/P(B) whenever P(A)P(B) 0. Show that, if P(A | B) > P(A), then P(B…

Q: Question 5 Tower anchor bolts are required to carry high tensile loads for wind turbines. Data was…

A: To solve this problem, Binomial distribution should be used. Binomial distribution has a probability…

Q: If n-470 and p (p-hat) -0.25, find the margin of error at a 99% confidence level Give your answer to…

Q: Example: A (pseudo) random number generator on the computer can give a sequence of independent…

Q: If the moment-generating function of a random variable X is Mx(t)=(1-5t (a) Find E(X). (b) Find a…

Q: Let Z₁ be x²(n) and let W₁ = Z₁/(√). Find the limiting distribution of Wn.

A: Dear student, If you find this solution helpful please upvote ? it. The solution is given below:

Q: The mean number of minutes for app engagement by a tablet user is 8.2 minutes. Suppose the standard…

A: GivenMean(μ)=8.2standard deviation(σ)=0sample size(n)=70

Q: 1. The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

Q: a. A random sample with n = 4 takes the values -3,0, 1, 2. Calculate X = S² =

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Express the following probability as a simplified fraction and as a decimal. If one person is…

A: if one person is selected from the populationprobability that the person is msle , given that this…

Q: A gasoline processor is developing a reasonably priced gasoline that will deliver improved gasoline…

A: The researcher wants to compare the effects of three types of gasoline on the mileage. The data is…

Q: Solve the problem. Round to the nearest tenth unless indicated otherwise. A bank's loan officer…

Q: 22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. A…

Q: Express the confidence interval (21.7%, 29.7 %) in the form of p± ME. % ± A

A: The given confidence interval is (21.7%, 29.7%) The confidence interval represents population…

Q: Since the length of a downhill ski is related to the height of the individuals renting them, it is…

A: Given,Mean(μ)=150standard deviation(σ)=10

Q: Express the confidence interval (595.3, 720.3) in the form of ± ME. + ME= Submit Question

A: GIVEN DATA, the confidence interval is (595.3,720.3)we haveto find out the sample mean and margin…

Q: Salma has a deck of 10 cards numbered 1 through 10. She is playing a game of chance. This game is…

A: Given: Salma has 10 cards numbered 1-10 If odd number card is drawn she looses 3.50$ and if even…

Q: A bank auditor used a random sample of 100 accounts and found out that the average demand deposit…

A: Given that: sample=100 account average demands balance=$549.82 We have to find if the auditor needs…

Q: What are the probabilities P1, P2, P3 for the router failing not earlier than tB = 500h for the…

A: Let X be the time until failure is approximately well estimated with an exponential distribution…

Q: A fair coin is tossed n times. Show that, under reasonable assumptions, the probability of exactly k…

A: Let p be the probability of getting head. Then p = 1/2 as the coin is fair. Let X denote the number…

Q: A fair six-sided die is rolled. Find the probability of getting at least a 6. Note: A standard deck…

A: Given data: A fair six sided die is rolled. To find: The probability of getting at least a 6.

Q: Problem 1. If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that…

A: Obtain the probability that it will contain exactly 1 ace. The probability that it will contain…

Q: ale 18 red compartments, 18 black compartments, a ompartments that are neither red nor black.) If…

A: Given One option in a roulette game is to bet $7 on red. There are 18 red compartments, 18 black…

Q: Write down the common notations for the following. mean of the sampling distribution of the sample…

A: Given, μ=100, σ=15, n=50 and X¯=103.

Q: At a police station in a large city, calls come in at an average rate of four calls per minute.…

Q: of heads the first coin comes up and the number of tails the second coin comes up respectively.…

Q: There are 32 students in categories A and B combined. Some students are in both, 24 are in A, and 24…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Question

A 95% confidence interval for p the proportion of supermarket customers who do not buy house-brand products at all is calculated as 32%. With a margin of error of E=±4%, z*=1.96 for a 95% C.L.

a) The population proportion is

b) The unbiased point estimator is

e) What sample size is needed for a 95% confidence level (z*=1.96) and margin of error of E=±2%

and sample proportion of 32%? Round your answer to the next whole number.

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