### Survey on Favorite Junk Food#### BackgroundOn July 21, www.HuffingtonPost.com conducted a survey asking respondents to choose their favorite junk food from a list. This survey coincided with National Junk Food Day. Out of the 8002 participants, 4801 were female and 3201 were male. The results were categorized based on gender.#### Results - Favorite Junk FoodThe table below details the number of responses for each type of junk food, segregated by gender:| Favourite Junk Food | Female | Male ||----------------------|--------|------|| Chocolate | 1518 | 531 || Sugary candy | 218 | 127 || Ice cream | 685 | 586 || Fast food | 312 | 463 || Cookies | 431 | 219 || Chips | 458 | 649 || Cake | 387 | 103 || Pizza | 792 | 523 |#### Probability Calculationsa. If one individual is selected at random from the sample of 8002 respondents, determine the probability of the following events:i. The individual is male.\[ P(\text{male}) = \frac{3201}{8002} \]ii. The individual responded with ice cream as their favorite.\[ P(\text{ice cream}) = \frac{685 + 586}{8002} \]iii. The individual responded with ice cream, given they are male.\[ P(\text{ice cream} \mid \text{male}) = \frac{586}{3201} \]iv. The individual responded with ice cream, given they are female.\[ P(\text{ice cream} \mid \text{female}) = \frac{685}{4801} \]All probabilities should be rounded to four decimal places.

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

A July 21 (just a reminder that July 21 is National Junk Food Day) survey on www.HuffingtonPost.com asked people to choose their favorite junk food from a list of choices. Of the 8002 people who responded to the survey. 2049 answered chocolate, 345 said sugary candy. 1271 mentioned ice cream, 775 indicated fast food, 650 said cookies, 1107 mentioned chips, 490 said cake, and 1315 indicated pizza. Although the results were not broken down by gender, suppose that the following table represents the results for the 8002 people who responded, assuming that there were 4801 females and 3201 males included in the survey. Favourite Junk Food Female Male Chocolate 1518 531 Sugary candy 218 127 Ice cream 685 586 Fast food 312 463 Cookies 431 219 Chips 458 649 Cake 387 103 Pizza 792 523 a. Ifone person is selected at random from this sample of 8002 respondents, find the probability that this person L. is a male Round your answer to four decimal places. P(male )= i. responded ice cream Round your answer to four decimal places. P(ice cream)=1 ii. responded ice cream given that this person is a male Round your answer to four decimal places. P(ice cream male )=

A July 21 (just a reminder that July 21 is National Junk Food Day) survey on www.HuffingtonPost.com asked people to choose their favorite junk food from a list of choices. Of the 8002 people who responded to the survey. 2049 answered chocolate, 345 said sugary candy. 1271 mentioned ice cream, 775 indicated fast food, 650 said cookies, 1107 mentioned chips, 490 said cake, and 1315 indicated pizza. Although the results were not broken down by gender, suppose that the following table represents the results for the 8002 people who responded, assuming that there were 4801 females and 3201 males included in the survey. Favourite Junk Food Female Male Chocolate 1518 531 Sugary candy 218 127 Ice cream 685 586 Fast food 312 463 Cookies 431 219 Chips 458 649 Cake 387 103 Pizza 792 523 a. Ifone person is selected at random from this sample of 8002 respondents, find the probability that this person L. is a male Round your answer to four decimal places. P(male )= i. responded ice cream Round your answer to four decimal places. P(ice cream)=1 ii. responded ice cream given that this person is a male Round your answer to four decimal places. P(ice cream male )=

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown…

A: Part a) We need to determine an estimated regression equation that can be used to predict the…

Q: Use critical thinking to list at least three things wrong with this survey. Explain fully using…

A: Given information: The results of online survey are given.

Q: The mode score on a statistics exam was 83. Which of these interpretations is correct? A.More…

A: Given information Mode score on a statistics exam = 83 Mode = The number having highest frequency is…

Q: We discussed a couple of problems that arise during sampling. Describe one of these problems and…

Q: A community is considering raising funds to pay for improvements to the community swimming pool. To…

A: Convenience sampling: A convenience sample is a type of non-probability sampling method where the…

Q: A survey of 2390 musicians showed that 398 of them are left-handed. Find a point estimate for p, the…

A: We have find population left handed..

Q: A computer manufacturer conducted a survey. It showed that a younger customer will not necessarily…

A: As correlation measures the degree of linear relationship between two variables.

Q: Forty four rats were trained to run a maze. The following frequency histogram presents the number of…

A: Given:The height of each bar corresponds to how many rats took that many trials to learn the maze.…

Q: A policeman believes that less than 40% of older drivers speed on highways, but a confidential…

Q: Describe the who in the world of the study choose the correct answer below

A: Given: A research center conducts an extensive survey consisting of an interview and medical…

Q: As part of their efforts, the executives also surveyed managers across the country to determine…

A: Testing a hypothesis pertaining to a population mean, a population proportion (a fraction, ratio, or…

Q: When taking a 32 question multiple choice test, where each question has five possible answers, it…

A: According to range rule of thumb observation above 2 standard deviation of mean and observation…

Q: The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown…

A: using excel data analysis tool for regression , steps are: write data>menu>data>data…

Q: The Cincinnati Enquirer reported that, in the United States, 60% of adults and 82% of youths ages 12…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: Miller Junior High is considering changing its school colors. The results of a survey that 16 out…

A: Topic : unitary method

Q: An executive for a large company is considering a change to health insurance plans offered to the…

A: An executive for a large company is considering a change to health insurance plans offered to the…

Q: At the local college, a study found that students earned an average of 8.5 credit hours per…

A: Given, the average credit hour per semester is 8.5. The sample size is 127 students.

Q: Please do not give solution in image format thanku During the first 13 weeks of the television…

A: The question is about categorical data analysis.Given :To find :Test whether the viewing audience…

Q: Eighty- Three doctors working in St. Louis area were surveyed concering their opinions of health…

A: Population: Population is the set of all values in the set of data. Sample: A sample is a set of…

Q: A poll taken this year asked 1015 adults whether they were fans of a particular sport and 62% said…

A: sample size (n)=1015 Proportion of this year (p) =0.62 Confidence level = 0.95α = 1- confidence…

Q: A lecturer would like to analyse whether there is a relationship between the country of origin of…

A: Population is the set of all units of interest. Sample is a subset of the population. In real life…

Q: A survey of the mathematics faculty at wassamatta university indicates that 9 faculty members are…

A: Given: A survey of the mathematics faculty at wassamatta university indicates that 9 faculty members…

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: Define the hypotheses:• Null hypothesis (H0):(p1≥p2) • Alternative hypothesis…

Q: A pollster wishes to estimate the true proportion of US voters who oppose capital punishment. How…

A: Given information Error = 3.5% = 0.035 Confidence level = 0.90

Q: The U.S National Center for Education Statistics publishes information about school enrollment in…

Q: Statistics are widely used in Major League Baseball. Are the number of runs batted in (RBI)…

A: Determine whether the number of runs batted in (RBI) correlated to a hitter's batting average (AVG).…

Q: For this discussion, you will come up with an example of a situation in which two means would need…

A: Describe a possible study that could be conducted to compare two groups means:

Q: ▸ Dashboard с YouTube MyOpenMath…

A: Also given the incomplete table is we have to complete this table and also we have to find the…

Q: The seniors in my math classes were asked about whether they would pay for either a senior trip or a…

A: The question is about categorical data analysis Given : To test : A senior trip is more popular…

Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

### Survey on Favorite Junk Food

#### Background
On July 21, www.HuffingtonPost.com conducted a survey asking respondents to choose their favorite junk food from a list. This survey coincided with National Junk Food Day. Out of the 8002 participants, 4801 were female and 3201 were male. The results were categorized based on gender.

#### Results - Favorite Junk Food
The table below details the number of responses for each type of junk food, segregated by gender:

| Favourite Junk Food | Female | Male |
|----------------------|--------|------|
| Chocolate | 1518 | 531 |
| Sugary candy | 218 | 127 |
| Ice cream | 685 | 586 |
| Fast food | 312 | 463 |
| Cookies | 431 | 219 |
| Chips | 458 | 649 |
| Cake | 387 | 103 |
| Pizza | 792 | 523 |

#### Probability Calculations
a. If one individual is selected at random from the sample of 8002 respondents, determine the probability of the following events:

i. The individual is male.
\[ P(\text{male}) = \frac{3201}{8002} \]

ii. The individual responded with ice cream as their favorite.
\[ P(\text{ice cream}) = \frac{685 + 586}{8002} \]

iii. The individual responded with ice cream, given they are male.
\[ P(\text{ice cream} \mid \text{male}) = \frac{586}{3201} \]

iv. The individual responded with ice cream, given they are female.
\[ P(\text{ice cream} \mid \text{female}) = \frac{685}{4801} \]

All probabilities should be rounded to four decimal places.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Conditional Probability, Decision Trees, and Bayes' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A poll done for Newsweek found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the Newsweek poll? Use a 1% level of significance.
A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. Compute the percentage of variance explained by the group differences for these data. Q: Percentage and variance explained = ?
Please help answering this one:
In a study conducted by a human resource management organization, 492 human resource professionals were surveyed. Of those surveyed, 83% said that their companies conduct criminal background checks on all job applicants. Complete parts (a) through (d). Question content area bottom Part 1a. What is the exact value that is 83% of 492 survey subjects?
An online shop owner believes that 85% of her customers will want to go into a real store. She surveyed 50 customers and 39 said they want to visit a store. Is the owners claim correct? Use a 0.01 level of significance.
By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %
We asked 32 Learners in Mr. Magana’s Class if they have Facebook. 11 males and 7 females answered yes. 8 females answered no. Build a two-way table that shows this data. Fill in any empty spaces
Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included? Select the correct answer below: bar graph pie chart either a pie chart or a bar graph neither a pie chart nor a bar graph
In a survey that asked individuals about their favorite styles of music, 37 replied rock, 27 said they preferred pop music, 14 stated they like classical music the most, and 3 individuals stated they preferred opera. Based on this data, what would be the mode? Why couldn’t the mean or median be used to describe this set of values?
Please help explaining how to answer so I can study for my test. The Farm Program for the Montana State Department of Agriculture needs to choose a sample of farms in order to collect information about land utilization. Montana has 56 counties and the 26,800 farms across the state are currently categorized by county. The program would like to select a random sample of at least 112 farms and record the total acreage and the acreage used for pasture and range for each farm in the sample. Two plans have been proposed: Plan A: The program will randomly select 10 counties from the 56 counties. All farms within the 10 selected counties will be visited by a surveyor who will calculate the total acreage and acreage used for pasture and range. Plan B: The program will randomly select 2 farms from each county. All 112 selected farms will be visited by a surveyor who will calculate the total acreage and acreage used for pasture and range. Which of the following best describes the…
Twenty-nine college students, identified as having a positive attitude about Mitt Romney as compared to Barack Obama in the 2012 presidential election, were asked to rate how trustworthy the face of Mitt Romney appeared, as represented in their mental image of Mitt Romney’s face. Ratings were on a scale of 0 to 7, with 0 being “not at all trustworthy” and 7 being “extremely trustworthy.” Here are the 29 ratings: 2.6 3.2 3.7 3.3 3.4 3.6 3.7 3.8 3.9 4.1 4.2 4.9 5.7 4.2 3.9 3.2 4.5 5.0 5.0 4.6 4.6 3.9 3.9 5.3 2.8 2.6 3.0 3.3 3.7 a 95% confidence interval for the mean rating. Is there significant evidence at the 5% level that the mean rating is greater than 3.5 (a neutral rating)?
Wegman’s (a food market chain) has developed a new store-brand brownie mix. Before they start selling the mix they want to compare how well people like their brownies to brownies made from a popular national brand mix. In order to see if there was any difference in consumer opinion, Wegman’s asked 124 shoppers to participate in a taste test. Each was given a brownie to try. Subjects were not told which kind of brownie they got—that was determined randomly. 58% of the 62 shoppers who tasted a Wegman’s brownie said liked it well enough to buy the mix, compared to 66% of the others who said they would be willing to buy the national brand. Does this result indicate that consumer interest in the Wegman’s mix is lower than for the national brand?