The manufacture of textile assumes that the proportion of orders for late delivery of raw material is p = 0.7. If at most 4 arrived late for a random sample of 12, reject the hypothesis that p = 0.7 in favor of the alternative hypothesis that p < 0.7. Use the binomial distribution. a. Find the probability of committing a type I error if the true proportion is 0.7 and b. Find the probability of committing a type Il error for the alternative p = 0.6

Q: Consider a road that has a length of L kilometers and the number of potholes on this road follows…

A: The poisson random variable gives the number of events in an interval. The probability mass function…

Q: According to a recent poll, half of all pet owners would get their next dog or cat from a shelter.…

A: Note- Since parts a, b, and c are correctly answered so I am giving a solution for part (D) only.

Q: Assume that a procedure yields a binomial distribution. Given the number of trials and the…

A: Solution

Q: Assume that a procedure yields a binomial distribution. Given the number of trials and the…

A: Let the random variable be X. X ~ Binomial(n=26,p=0.72) PMF of X, P(X=x) = 26x0.72x(1-0.72)26-x ,…

Q: The number of commercials (X) shown during a single hour of children’s television programming is…

A: The sample size is 24. The probability distribution is provided as;

Q: Find the probabilities for each using the standard normal distribution. P(z< -1.8)

A: Required probability is P(Z&lt;-1.8)

Q: Through a manufacturing error, four cans marked “regular soda” were filled with diet soda and placed…

A: Provided that, Total number of cans=12 Number of cans with diet soda=4 Number of cans with regular…

Q: For a binomial distribution with n = 5 and p = 0.4, what is P(X 1)?

A:

Q: On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X…

A: Given Information µ = 4.8 emergency arrivals per day Let X be the number of arrivals per hour on a…

Q: The manager of a stockroom in a factory knows from her study of record that x, the daily demand (…

A: Properties of probability: The probability value lies between 0 and 1 (inclusive). That is 0 ≤ P(x)…

Q: Given the binomial experiment with  n = 300  trials and probability of success on a single trial…

A:

Q: If 40 percent of the mice used in an experiment willbecome very aggressive within 1 minute after…

A:

Q: In a local council election, 36% of voters voted for party A. The organisers of an exit poll…

A:

Q: The manufacture of textile assumes that the proportion of orders for late delivery of raw material…

A: (a) To determine the probability of committing a type I error if the true proportion is 0.7…

Q: Determine whether the given procedure results in a binomial distribution. If it is not binomial,…

A: The requirements for the Binomial distribution- 1. Each outcome falls under two categories Success…

Q: What is the probability that 20​,21​,22​,23​, or 24 people in the sample are in favor of retaining…

A: Given information P=0.65 n=31 q=1-0.65     = 0.35 Mean = np= 31*0.65 = 20.15 Std =√npq =…

Q: According to a recent poll, half of all pet owners would get their next dog or cat from a shelter.…

A: Given :  According to a recent poll, half of all pet owners would get their next dog or cat from a…

Q: Suppose in a local Kindergarten through 12th grade (K - 12) school district, 53 percent of the…

A: The mean of the binomial random variable obtained by the formula μ=np, where (n) is the number of…

Q: On a typical Saturday night at a local bar in San Diego, about 62% of people order a drink that has…

A:

Q: Which of the following hypothetical scenarios best describes ascenario where approximation by the…

A: The assumption of binomial distribution are as follows: Each trail can have only two outcomes which…

Q: Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. Use the…

A: this is binomial distribution mean of binomial distribution = np variance of binomial distribution =…

Q: Given the binomial experiment with  n = 400  trials and probability of success on a single trial…

A: Given Information: In binomial experiment: n=400 p=0.02 Value of mean is: λ=np=4000.02=8

Q: Assuming that the null hypothesis H0: ηd = 0 is true, answer the following questions. a. Why is the…

A: a.The reason for the probability of paired difference is greater than 0 and equal to 0.5The median η…

Q: Assume that a procedure yields a binomial distribution. Given the number of trials and the…

A:

Q: A large candy company has a product that comes in several different colors. The company claims that…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Automotive engineers have found that the gas mileage in highway driving of a certain sports utility…

A:

Q: In Exercises, X denotes a binomial random variable with parameters n and p. For each exercise,…

A: Continuity correction:The binomial probability is converted to a normal distribution probability by…

Q: A study reports that 36% of companies in Country A have three or more female board directors.…

A: Given Data population proportion,p = 0.36 sample size n = 100

Q: The probability of an adult in Australia having hazel colored eyes is 20%. If a simple random sample…

A: Solution

Q: A Realtor claims that no more than half of the homes he sells are sold for less than the asking…

A:

Q: Assuming the binomial distribution applies with a sample size of n= 12, find the values below. a.…

A: Given n=12 a) The probability that 5 or more success is obtained as follows: here, p=0.25 n=12…

Q: For the random variable Z follows a standard distribution, find P(-1.2<Z <2.1)

A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

Q: Which of the following scenarios best describes a situation where approximation by the binomial…

A: A binomial distribution is the discrete probability distribution of the number of successes in a…

Q: Assume that a procedure yields a binomial distribution. Given the number of trials and the…

A:

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: The conditions to check whether the normal approximation to binomial are: i) n × p ≥ 5 ii) n × p ×…

Q: To illustrate the law of large numbers, use the normalapproximation to the binomial distribution to…

A: Given that, n =100 , p = 0.5 The values of mean and standard deviation are, The probabilities that…

Q: Suppose that the random variable z, shown below, represents the number times . P(x) represents the…

A: a) The random variable x represents the number of times a randomly selected person having received…

Q: Consider how the following scenario could be modeled with a binomial distribution, and answer the…

A: Given 54.4% of movie tickets are sold with a popcorn coupon.45.6% of movie tickets are sold with out…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given information: pDecade ago=0.87pNow=0.10n=204 a)…

Q: Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per…

A: Given Observation and Calculation

Q: With reference to Exercise 12, if n = 100, θ0 = 0.40, θ1 = 0.30, and α is as large as possible…

A:

Q: Q2) From past experience, it is known that the number of tickets purchased by a student standing in…

A:

Q: Based on long experience, an airline found that about 8% of the people making reservations on a…

A: Given information: The number of ticket reservations = 265 The number of seats is only 255. The…

Q: Let X be a binomial random variable with n 25 and p =0.6. Approximate the following probabilities,…

A: It is given that the sample size n is 25 and the p is 0.6.

Q: a) If the average number of nonconforming units is 2.5, what is the probability that a sample will…

A: a) The probability that a sample will contain 3 or less non-conforming units is obtained below The…

Q: Twenty percent of males over 45 smoke. Use a Normal approxima- tion to the Binomial distribution to…

A:

Q: A poll of 2,040 randomly selected adults showed that 89% of them own cell phones. The technology…

A:

Q: A survey of all the shopping malls in your region yields the following probability distribution,…

A:

Q: The manufacturer of textile assumes that the proportion of orders for late delivery of raw materials…

A: Part (a) Given that, n=12p=0.7q=0.3 Calculate the probability of committing a Type 1 error.…

Q: An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1…

A: Solution: Let x = the amount of storage space purchased by the next customer to buy a freezer. The…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.