In the fall of 2003, a magazine article reported that about 87% of adults drink milk. A local dairy farmers' association is planning a new marketing campaign for the tri-county area they represent. They randomly polled 800 people in the area. In this sample, 654 people said that they drink milk. If 87% is the correct percentage of adults who drink milk, what is the probability that the association would observe 654 or less people who drink milk in the sample?

In the fall of 2003, a magazine article reported that about 87% of adults drink milk. A local dairy farmers' association is planning a new marketing campaign for the tri-county area they represent. They randomly polled 800 people in the area. In this sample, 654 people said that they drink milk. If 87% is the correct percentage of adults who drink milk, what is the probability that the association would observe 654 or less people who drink milk in the sample?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?
The WKU Herald reported that many students are unhappy with the cancellation of Spring Break. A sample of of 66 WKU students' opinion on the cancellation of Spring Break was collected. If 12% of all young people feel that WKU should have cancelled Spring Break, what is the probability that the proportion of those in the sample who feel that WKU should have cancelled Spring Break will be less than.1768? O a. 9222 O b. .4222 C. .0568 O d. .0778
It is known that only 20% of college football players are considered as strong candidates for the professional league after graduation. If 15 college players are randomly and independently sampled, what is the probability that less than 3 will be considered as strong candidates for the professional league? A. 0.602 B. 0.648 O C. 0.352 D. 0.398
In an article that appears on a website,† Carlton Gunn, a public defender in Seattle, Washington, wrote about how he uses statistics in his work as an attorney. He states the following. I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given—say 99 in 100—are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as given below. TD = event that the test result is dirty TC = event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following…
please answer the question down below!
Do cat owners sleep better than those without cats? To help answer this question, a cat enthusiast obtained a random sample of 500 Canadians, each of whom answered two questions: 1. do you have a cat? (yes or no), 2. How well do you sleep? (good, neutral, bad). The dataset “CatSleep.xlsx” contains her findings. Find the probability that a randomly selected Canadian is a bad sleeper and a cat owner. Find the probability that a randomly selected Canadian is a neutral sleeper or a cat owner. Find the probability that a randomly selected non-cat owner is a bad sleeper. That is, find the probability that a randomly selected Canadian is a bad sleeper, given they are not a cat owner Can you handwrite the solution?
The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender: Opinion Female Male Almost no chance 120 94 Some chance but probably not 156 178 A 50-50 chance 427 498 A good chance 750 700 Almost certain 1176 770 How many individuals are described in this table? How many females were among the respondents? The percent of females among the respondents was about %. Your percent from the previous exercise is part of the marginal distribution of opinion about marriage. the conditional distribution of sex among adolescents with a given opinion. the marginal distribution of sex. What percent of females thought that they were almost certain to be married in the next 10 years?% Your percent from the previous exercise is part of the conditional distribution of sex among…
The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender: Opinion Female Male Almost no chance 120 104 Some chance but probably not 141 158 A 50-50 chance 454 499 A good chance 742 729 Almost certain 1168 764 What percent of females thought that they were almost certain to be married in the next 10 years?
Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately, click fraud—the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue—has become a problem. According to BusinessWeek, 42% of advertisers claim they have been a victim of click fraud. Suppose a simple random sample of 220 advertisers will be taken to learn more about how they are affected by this practice. Use z-table. a. What is the probability that the sample proportion will be within +/- 0.05 of the population proportion experiencing click fraud? (to 4 decimals) b. What is the probability that the sample proportion will be greater than 0.45 ?(to 4 decimals)
A national sports equipment co-op is going to conduct a survey of its members. It knows from collecting data when members join that 68% of them identify as male. Assuming the total number of members is very large and 200 of them are randomly selected to take the survey, what’s the chance less than 60% of these randomly chosen members identify as male? Show all your work and write your answer as a percentage.
A radio talk show asks listeners to call in and say whom they are going to vote for in the next presidential election. Of the 587 callers, 71% say they favor one of the candidates, while 29% favor the other. Does this convince you that the first candidate is likely to win the election? Why or why not? What is statistical issue is involved here?
Words that are more likely to be contained in a phishing scam are called flagged words. Typically, there is a 94% chance that a phishing scam contains flagged words. There is a 20% chance that regular email contains flagged words. A security company estimates that 4.9% of emails are phishing scams. An email just came through that contains a flagged word. What are the chances that it is a phishing scam? (Enter the probability as a decimal rounded to four decimal places.)