Suppose 48 % of the registered voters in a country are Republican. If a sample of 597 voters is selected, what is the probability that the sample proportion of Republicans will be greater than 43 % ? Round your answer to four decimal places.

Q: If 64% of the people at a certain conference are doctors, 31% are women, and 29% are female doctors,…

A: Solution

Q: At one private college, 34% of students are business majors. Suppose that 260 students are randomly…

A: The probability that the proportion of business students in the sample differs from the population…

Q: Catherine Chao, director of marketing research, needs a sample of Kansas city households to…

A:

Q: otel manager assumes that 13% of the hotel rooms are booked.   If the manager is correct, what is…

A: Given: Population proportion (p) = 0.13 Sample size (n) = 423 The distribution of sample proportion…

Q: Suppose 42 % of the students in a university are baseball players. If a sample of 628 students is…

A:

Q: Suppose 48% of the banks in Switzerland are private organizations.   If a sample of 484 banks is…

A: When the sample size is large enough we can use the normal approximation by virtue of the Central…

Q: If you are interested in the probability of two successes out of five trials, what is the correct…

A: Given  Let p be the probability p=0.30,  n=5. X~Bin(n=5,p=0.30) P(X=2)=?

Q: Suppose an actual census showed that 18.4% of the households in California have incomes in excess of…

A: It is given that n =750 and p =0.184.

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given: The probability of eligible voters in the next election who will vote for the incumbent is…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: The Newspaper reports that among individuals in the 40 to 50 age, 45% drink coffee. If 200 people of…

A: Givenp=0.45n=200let "x" be the number of coffee…

Q: About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability…

A: Given: About 8% of the U.S. population catches the flu each season.

Q: If you roll three (six sided) dice, what is the probability that all three will show a 6? Leave your…

A: Obtain the probability that all three will show a 6. The probability that all three will show a 6 is…

Q: If the probability that the Islanders will beat the Rangers in a game is 61%, what is the…

A: We have given that the Binomial distribution with parameter p=0.61 and n=6. The pmf of Binomial…

Q: 22. Suppose 58% of American singers are Grammy award winners. If a random sample of size 764 is…

A: the pdf of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Past records of a factory show that 4% of the candles produced are defective. What is the…

A:

Q: What is the probability of randomly drawing 7 cards at once from a standard deck of cards and…

A: From the provided information, Total cards in standard deck = 52 Sample size (n) = 7

Q: The newspaper reports that among individuals in the 18 to 22 age, 25% drink coffee. If 400 people of…

A: Given,n=400p=0.25q=1-0.25=0.75np=400×0.25=100≥5nq=400×0.75=300≥5we can use normal…

Q: In a small private school, 3 students are randomly selected from 11 available students. What is the…

A: Assume that all the 11 available students have different ages. S ne the sample space of selecting 3…

Q: If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the…

A: Solution: Let X be the number of games Islanders will win in a against the Rangers and n be the…

Q: Color blindness has a rate of about 5% among males. If you pick a group of 15 males, what is the…

A:

Q: In a batch of 2000 calculators , there are, on average, 8 defective ones. If a random sample of 150…

A:

Q: A researcher believes that 7% of pet dogs in Europe are Labradors. If the researcher is right, what…

A: Given, p=0.07 1-p = 1-0.07 =0.93 n=538

Q: In a small private school, 5 students are randomly selected from 12 available students. What is the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Suppose a large shipment of microwave ovens contained 14 % defectives. If a sample of size 278 is…

A:

Q: Suppose that the true proportion of households with at least one car is T = .80. If a random sample…

A: Assume that π as the true proportion of households with at least one car.

Q: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

Q: Suppose 45% of the doctors in a hospital are surgeons. If a sample of 844 doctors is selected,…

A: Solution: From the given information, the probability of the doctor in a hospital is a surgeon is…

Q: Out of a survey of 400 customers, under the assumption that 0.5 is the correct proportion, what is…

A: From the provided information, Sample size (n) = 400 Proportion (p) = 0.5

Q: Suppose that a random sample of 20 computer owners is selected and that 14 have a firewall…

A: True proportion of computer owners who have a firewall installed is 0.40 So, probability that a…

Q: If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the…

A: Given P=1/3 q=1-1/3=2/3

Q: Suppose 54% of the banks in Switzerland are private organizations. If a sample of 705 banks is…

A: Solution: From the given information, p=0.54 and n=705.

Q: An exit poll during a recent election revealed that 55% of those voting were women and that 65% of…

A: P(A|B) = P(A∩B)P(B)

Q: The probability that a house in an urban area will develop a leak is 6​%. If 13 houses are…

A: Given : The probability that a house in an urban area will develop a leak is 6​%. 13 houses are…

Q: About 8% of the US population catches the flu each season assuming everyone has equal probability of…

A:

Q: If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that…

A:

Q: Suppose that 33% of people in a certain city are on an online dating website. If three people are…

A: Given information 33% of people are on online dating website Probability that people are on online…

Q: In a small private​ school, 4 students are randomly selected from 14 available students. What is the…

A: Solution: Total number of available students n = 14 r =4

Q: The probability that a house in an urban area will develop a leak is 55​%. If 22 houses are…

A: Let "X" be the houses that will develop a​ leak.

Q: A telephone exchange operator assumes that 5% of the phone calls are wrong numbers. If the operator…

A: Givenproportion p=0.05sample size n=460mean m=p=0.05standard deviation σ=p(1-p)n…

Q: Suppose 58% of the registered voters in a country are Republican. If a sample of 570 voters is…

A: As given,  58% of the registered voters in a country are Republican. This implies  P = population…

Q: Suppose 45 % of the doctors in a hospital are surgeons. If a sample of 844 doctors is selected, what…

A:

Q: If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the…

A:

Q: Suppose 49% of the registered voters in a country are Republican.   If a sample of 701 voters is…

A: Given information: It was stated that 49% of the registered voters in a country are Republican. The…

Q: In a small private school, 5 students are randomly selected from 14 available students. What is the…

A: Given that, 5 students are randomly selected from 14 available students.Here, we can use binomial…

Q: Suppose 42% of the banks in Switzerland are private organizations.   If a sample of 442 banks is…

A: It is known that, the mean of the sampling distribution of p-hat is equal to the population…

Q: Out of 800 families with 4 children each, what percentage would be expected to have no girls? Assume…

A: From the provided information, There are 800 families with 4 children each. The probability of girl…

Q: If the probability that the Islanders will beat the Rangers in a game is 85%, what is the…

A:

Q: A researcher believes that 8 % of pet dogs in Europe are Labradors. If the researcher is right, what…

A: Where,

Q: A sample of 4 different calculators is randomly selected from a group containing 20 that are…

A: Given,no.of defective calculators=20no.of non defective calculators=10total no.of calculators=30

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.