In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would prefer the child to be a boy. Suppose you conducted a survey of 170 randomly selected students on your campus and find that 84of them would prefer a boy.   ​(a) Use the normal approximation to the binomial to approximate the probability​ that, in a random sample of 170​students, at least 84would prefer a​ boy, assuming the true percentage is 45​%. ​(b) Does this result contradict the​ poll? Explain.   ​(a) The probability that at least 84 students would prefer a boy is

Q: In a recent study nationwide, it was found that 41% of people own dogs. If you pick two people at…

A: Given that  It was found that 41% of people own dogs. P(Dog) = 41% = 0.41   We know that…

Q: Suppose the probability of someone speaking English in Germany is 45 %. Suppose we are to randomly…

A:

Q: According to Nielsen Media Research, 30% of televisions are tuned to NFL Monday Night Football when…

A: Given: p=0.30n=50

Q: According to Nielsen Media Research, 30% of televisions are tuned to NFL Monday Night Football when…

A: From the provided information, 30% of televisions are tuned to NFL Monday Night Football when it is…

Q: Suppose that 44% of US adults favor more government spending for Covid-19 relief.  What is the…

A: given data  P(favor more spending) = p = 0.44 sample size (n) = 15 x = no. of people favor more…

Q: Calculate n*p. Does this situation meet the condition for approximating a binomial with a normal?…

A:

Q: Suppose there are 1150 students in your high school, and 28% of them take Spanish. You select a…

A: The Binomial distribution with parameters n and p is the discrete probability distribution of the…

Q: 56% of all violent felons in the prison system are repeat offenders. If 34 violent felons are…

A: Given that  Population proportion p=56%=0.56 Sample size n =34 Here we use continuity correction.…

Q: A survey is taken of 35 randomly selected college students asking them, "Do you plan to transfer to…

A: Given  A survey is taken of 35 randomly selected college students asking them, "Do you plan to…

Q: In a recent poll, 44% of survey respondents said that, if they only had one child, they would prefer…

A: Given Probability of success on a trial, p = 44% = 0.44Sample size, n = 150 Using formula, In normal…

Q: In a certain state, it has been shown that only 62% of the high school graduates who are capable of…

A: Let us denote X=the number of high school graduates who are capable of college work actually enroll…

Q: Sixteen percent of adults contribute to charitable agencies on a regular basis. Using the binomial…

A: According to the given information, we have Given that 16% of adults contribute to charitable…

Q: The recent survey conducted in a certain village suggests that 41.26% of all residents are…

A: Solution: Given that the probability that a resident is self-employed is 0.4126 and it is denoted by…

Q: Suppose that in a particular population of people, 76% have brown eyes. If you were to select eight…

A: n = 8 , p = 76% = 0.76X~Binom(n=8, p=0.76)

Q: A recent study found that 63% of all tax returns have no errors. Assuming this is true, find the…

A: Solution: Let X be the number of tax returns have no errors and n be the sample of tax returns. From…

Q: Solve the following problems applying the Binomial distribution 1.- probability of a student…

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

Q: According to voting records, 61% of eligible voters voted. In a sample of 100, 66 said that they…

A:

Q: Suppose there are 950 students in your high school, and 35% of them take Spanish. You select a…

A: Given data is appropriate for binomial distribution with parameters n and p is the discrete…

Q: If the probability of a machine producing a defective part is 0.05, what is the probability of…

A: Let, X be the number of defective parts producing out of n= 100 sample. Where,    Probability of…

Q: A random sample of 450 adult is taken from a population of 15000. It is believed that 82% of the…

A:

Q: In testing a new drug, researchers found that 5% of all patients using it will have a mild side…

A:

Q: Is there a formula to calculate this problem?: a financial firm is performing an assessment test…

A: Given: Suppose this firm has 6504 customer accounts numbered from 0001 to 6504. One account is…

Q: In 1996, McDonald's estimated that 10% of all American workers had worked at McDonald's at one point…

A: Let "X" be the American workers who worded at McDonald.

Q: Suppose the American Kennel Club estimates that 38% of households in U.S. have a Pembroke Welsh…

A: Given data: Given proportion: p = 0.38 Sample size = 400

Q: A die has been "loaded" so that the probability of rolling any even number is and the probability of…

A: Probability of rolling an even number is .Probability of rolling an odd number is .The die is…

Q: A neighborhood has two houses, house 1 and house 2. House 1 has a certain number of people that eat…

A: Let H1, H2, A be the events defined asH1=house 1H2=house 2A=people selected to eat ice cream then…

Q: An adult citizen in the Springfield region has about 0.3 chance of being selected for jury duty. If…

A: Given Information: Probability that an adult citizen in the Springfield region is selected for jury…

Q: If 9 of the students from the special programs are randomly selected, find the probability that at…

A: Given,Probability of garduation P=0.902for a binomial distributionP(X=x)=nCxPx(1-P)n-x Here,  no. of…

Q: (a) Using the binomial distribution, what is the probability that among 18 randomly observed…

A:

Q: Based on a USA Today poll, 10% of the population believes that college is no longer a good…

A:

Q: According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly…

A: It is given that n=16 and p=0.267.

Q: It is estimated that 40% of clowns like scaring children. A sample of 15 clowns are indicted.…

A: Given dataProbability that clowns like scaring children i.e. p = 0.40No of clowns i.e. n =…

Q: What happens to trees over a five-year period? A study lasting more than 30 years found these…

A:

Q: Suppose that  11% of people are left handed. If  8 people are selected at random, use the binomial…

A: Given Data Probability of success,p = 0.11 Probability of failure,q=(1- 0.11 )= 0.89…

Q: Researchers are concerned about the rise in gun violence in their community among the adolescent…

A:

Q: The prevalance of mild myopia (nearsightedness) in adults over age 40 is 27% in the US. Suppose…

A: Given: p = 0.27 n = 8 x = 3 Formula Used: Binomial distribution: X~B(n, p) P(X=x) = Cxnpxqn-xE

Q: A Gallup poll of 1236 adults showed that​ 12% of the respondents believe that it is bad luck to walk…

A: It is given that the population size N is 1236.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.