Some brands of soda have a bottle cap with a code redeemable for free music downloads. The soda company claims that 1 in 5 bottles of soda is a winner. However based on their experience redeeming codes, a group of students is skeptical of this claim, and believes that fewer than 1 in 5 caps is a winner. A group of students bought 65 bottles of soda to investigate the company’s claim. The students found a total of 11 bottle caps were winners. Suppose it is reasonable to assume that the 65 bottles purchased by the students are a random sample of all the bottles of soda.    Based on this sample is there support for the students’ belief that the proportion of winners is less than 1 in 5? Provide statistical evidence to support your answer.   If the conclusion you made in part a. is incorrect, what type of error was made?   Interpret the p-value from part a. in context.

Q: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…

A: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…

Q: A section of a test has four true-false questions. A completed test is selected at random and the…

A: To find out all the 16 outcomes:

Q: A geography test was given to a simple random sample of 500 high-school students in a certain large…

A: The number of individuals who participated in the investigation is 500. The individuals were asked…

Q: A recent study of 230 people in a small downtown neighborhood found that 66 had medical insurance…

A:

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: Students at the University of Alabama use the following modes of transportation: bike, car, and bus.…

A: Given: Students at the University of Alabama use the following modes of transportation: bike, car,…

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

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A: The amount of information uncertainty in the single card,  Hs= log2N  Here total cards are N= 64 Hs=…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: A woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1 shirt, 1 skirt,…

A: Provided data is, woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1…

Q: In a certain village 20% of the population is literate, and assume that 150 investigators take a…

A: Given,n=10p=0.2q=1-p=1-0.2=0.8X=no.of literates in the sampleX~Binomial (n=10 , p=0.2)P(X=x)=cxn px…

Q: In one of its Spring catalogs, a company advertised footwear on 34 of its 200 catalog pages. Suppose…

A: Given information: Given that a company advertised footwear on 34 of its 200 catalog pages. The…

Q: Several states have an annual raffle called the Millionare Raffle. A ticket with a unique 6-digit…

A:

Q: A quality control technician must select a sample of 10 dresses from a production batch of 74 haute…

A: We need to use the combination formula:

Q: A report just came out that stated that 24.5% of all Americans say that vanilla is their favorite…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

Q: Suppose a questionnaire has 11 questions. In how many ways can the questionnaire be answered if each…

A: A questionnaire has  questions. Each question requires a yes or no response followed by a -part…

Q: A psychology survey has 6 choices for race and a choice for male or female.There are possible…

A:

Q: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…

A: A coin is flipped ten times resulting in either heads or tails on each flip  Then how many outcomes…

Q: A mini-test consists of three multiple choice questions each with three answers to choose from. The…

A: Given that, A mini-test consists of three multiple choice questions each with three answers to…

Q: A section of an exam contains two multiple-choice questions, each with three answer choices (listed…

A: Given:  In an exam there are two multiple choice questions each having three options "A", "B" and…

Q: It has been estimated that only about 30% of California residents have adequate earthquake supplies.…

A: The sample size (n) is 13 and p = 0.30.

Q: One game at a carnival is called “Duck Pond.” This game consists of a large number of ducks that are…

A:

Q: Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: According to an autograph association, only 8% of autographs in cirrculation from a certain band are…

A: Let x be the number of authentic and non-authentic autographs in circulation.Given that, 8% of…

Q: When taking a 28 question multiple choice test, where each question has five possible answers, it…

A: Given that, When taking a 28 question multiple choice test, where each question has five possible…

Q: What is the wording in the context of this problem for the ry p-hat?

A: The p^ denotes the proportion calculated from the sample, it is the points estimated for the study.

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: A report just came out that stated that 24.2%  of all Americans say that vanilla is their favorite…

A: Part 1: The table by filling the expected frequencies is as given below:   Observed frequency…

Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

A:

Q: When taking a 17 question multiple choice test, where each question has 3 possible answers, it would…

A: #  Here given that      n=17 question      x=3 possible answer   So P=13, n=17

Q: A researcher wanted to test eight specific drugs and he had enough animals to test five drugs. How…

A: It is an important part of statistics. It is widely used.

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A: The all-possible outcomes for tossing a pair of dice is defined as follows: Sample space = {(1,1),…

Q: A marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The number of ways in which n different objects can be arranged is given by n!, where…

Q: Different amounts of money can be made from 5 coins of different denominations. Find the probablity…

A: Total number of amounts of money that can be made with 5 coins =C15+C25+C35+C45+C55 =31

Q: A survey of 50 students showed that 25 were taking psychology, 20 were taking math, and 8 were…

A:

Q: There are two main fishing spots in a certain video game, a river and a lake. In the river, out of…

A: a) Given claim: The proportion of trout in the river is greater than the proportion of trout in the…

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.