Jane and Sam work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children. Jane obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children. Sam waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children. Which result is the better estimate of the proportion of coworkers who have children? Question 1 options: 72% Both results are equally good estimates Neither result is a good estimate 85%

Jane and Sam work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children. Jane obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children. Sam waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children. Which result is the better estimate of the proportion of coworkers who have children? Question 1 options: 72% Both results are equally good estimates Neither result is a good estimate 85%

Name: Jane and Sam work in the same department for a large corporation. They
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: Jane and Sam work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children.Jane obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks tho

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

Related questions

Q: A candy manufacturer sells bags of chocolate treats that are supposed to be half dark chocolate and…

A: A one sample z-test must be performed to test the claim that the proportion of dark chocolates is…

Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation…

Q: In 1950, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do…

A: Given data, x1= 396 x2= 319 n1=1100…

Q: Suppose a veterinarian wants to estimate the difference between the proportion of cat owners who are…

A: The random variable is difference between the proportion of cat owners and the proportion of dog…

Q: A company wants to study the effects a new drug has on alleviating pain. Some patients at doctor’s…

A: A population is a umiverse of all possible data for a specified object. And, sample is a selection…

Q: You are testing the claim that the proportion of men who own cats is larger than the proportion of…

A: State the hypotheses. Let p1 denotes the population proportion of men who own cats. Let p2 denotes…

Q: You want to know what percentage of students own pets at your university. In asking 10 random…

A: In an observational study, researcher observes the individuals and measure the outcomes. In this…

Q: A small ice cream parlor has had great success over the past several years and is interested in…

A: Given information: Number of customers randomly selected in the sample, n = 56 Number of customers…

Q: The cumulative number of AIDS cases reported for a county is broken down by ethnicity as in the…

A: The cumulative number of AIDS cases reported for a county is broken down by ethnicity as in the…

Q: Students have been asked to describe their politics as "Liberal”, "Moderate", or "Conservative". The…

A: The data for two categorical variables as politics and gender are given…

Q: There are 250 students in a class. (A) James is ranked 20th in the class. What is James’ percentile…

Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation…

A: Sample Proportion The sample proportion describes the proportion of people during a sample with a…

Q: n 1995 a magazine reported the results of a poll of adult Americans in which it asked, "Have you…

Q: A drug company claims that an allergy medication causes headaches in 5% of those who take it. A…

A: Solution: 1. Population is a set of similar items, objects or individuals which is of interest as…

Q: A cable network wants to know if viewers would rather watch a new show or the existing show. Out of…

A: The individuals of group of subjects, whose effects are the main interest of the study, is called…

Q: Suppose you wanted to know the proportion of students who wear glasses on campus and you went ahead…

A: you wanted to know the proportion of students who wear glasses on campus you went ahead and survey…

Q: Henry conducts a survey at his middle school to determine the students' favorite after-school…

A: There are four main types of probability sample. Simple random sample: In this, every member of the…

Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation…

A: Given: The proportion of people who like dark chocolate more than milk chocolate is 32% Margin of…

Q: A study was conducted to investigate whether local car mechanics charge women more than men for a…

A: The data set of repair prices and the differences…

Q: Carry out a hypothesis test to determine if the mean rating assigned to the wine when the cost is…

A: Let μd be the mean difference between cost $90 and cost $10. The test is that the mean rating…

Q: You are testing the claim that the proportion of men who own cats is significantly different than…

Q: Maci is a social networking maniac! Although she prefers Instagram, she also spends a lot of time…

A: Introduction A variable is a no., characteristic which can be counted or measured.

Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation…

Q: Solve. (a) Contrast the shapes of the data sets displayed in the box-and-whisker plots in Question…

A: The data is : X (Sherelle) Y (Venita) 72 45 56 65 81 73 84 57 75 79 26 66 39 69…

Q: Two psychologists surveyed 587 children in grades 4, 5 and 6 in elementary schools in Michigan. They…

Q: A researcher wants to determine what proportion of all high school students plans to attend…

A: Obtain the critical value at 90% confidence level:It is given that the margin of error is 0.02. The…

Q: Several years ago, two companies merged. One of the concerns after the merger was the increasing…

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

Q: a. Identify the population(s). of those who take the drug actually get headaches. 5% of those who…

A: It is given that a deug company that an allergy medication causes headaches in 5% of thise who take…

Q: At Central High School, 28% of the students are Freshmen, 26% are Sophomores, 24% are Juniors, and…

A: Simple random sampling: If a sample of n subjects is selected then every unit in the population has…

Q: A professor has a class with five recitation sections. Each section has 18 students. The question is…

A: Using excel:

Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Topic Video

Question

100%

Jane and Sam work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children.

Jane obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children.

Sam waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children.

Which result is the better estimate of the proportion of coworkers who have children?

Question 1 options:

	72%
	Both results are equally good estimates
	Neither result is a good estimate
	85%

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Proportions$

Learn more about

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

Similar questions

In a statistics activity, students are asked to spin a penny and a dime and determine the proportion of times that each lands with tails up. The students believe that since a dime is lighter, it will have a lower proportion of times landing tails up compared to the penny. The students are instructed to spin the penny and the dime 30 times and record the number of times each lands tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Let PD = the true proportion of times a dime will land tails up and pp = the true proportion of times a penny will land tails up. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Ho: Po-Pp= 0 and H₂: Po-Pp<0?
A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated how they liked them on a scale of 1 to 6. Prior to tasting each wine, participants were told the price of the wine. Of the six wines tasted, two were actually the same wine, but for one tasting the participant was told that the wine cost $10 per bottle and for the other tasting the participant was told that the wine cost $90 per bottle. The participants were randomly assigned either to taste the $90 wine first and the $10 wine second, or the $10 wine first and the $90 wine second. Differences were calculated by subtracting the rating for the tasting in which the participant thought the wine cost $10 from the rating for the tasting in which the participant thought the wine cost $90. Difference ($90 3 4 $10) 2 1 USE SALT 0 3 0 2 1 3 3 1 4 1 2 Find the test statistic. (Round your answer to two decimal places.) t = 2 1 -1 Carry out a hypothesis test to determine if…
A recent study examined the drinking behaviors of undergraduate college students (male and female freshmen). Each participant was asked how many alcoholic beverages they consumed during the past 7 days. The researchers wish to determine if there is a difference in the drinking habits of males and females in this age group. A recent study examined the drinking behaviors of undergraduate college students (male and female freshmen). Each participant was asked how many alcoholic beverages they consumed during the past 7 days. The researchers wish to determine if there is a difference in the drinking habits of male and females in this age group. Female Male 9 13 5 9 5 7 9 11 8 10 3 5 5 6 2 10 1 16 7 12 Which type of test will you run? What is the independent variable? What is the dependent variable?
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 37% with a margin of error of 2.5%. Describe the conclusion about p using an absolute value inequality. . That lets you type in a vertical bar | to represent absolute values. Also, when you type in < and then =, the symbolic entry option will automatically convert that to ≤ . In the same way, if you type in > and then =, the symbolic entry option will automatically convert that to ≥. Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Sherelle and Venita find two bags of coins in their grandmother's attic. Each girl selects a bag, takes a random sample of 20 coins from that bag, and lists the dates of those coins as the number of years since 1900. Here are the results. Sherelle: 72. 56. 81. 84. 75, 26, 39. 62. 65. 66, 85, 71. 74, 68, 73. 66. 83. 60, 58, 72 Venita: 45, 65, 73, 57. 79. 66. 69. 75. 51. 44. 53. 69. 58.77. 51. 55. 53. 78, 70, 62
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95% confident that his estimate is within seven percentage points of the true population percentage?
The director of library services at a college did a survey of types of books (by subject) in the circulation library- Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Percent of Books on Subject in Circulation Library on This Subject 32% Number of Books in Sample on This Subject 265 Subject Area Business Humanities 25% 20% 226 Natural Science Social Science 224 15% 104 All other subjects 69 Using a 5% level of significance, test the daim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance? State the null and alternate hypotheses. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. O Hg: The distributions are different. H: The distributions are the same. O Hg: The distributions…
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 44% with a margin of error of 2.2%. Describe the conclusion about p using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to >.
The owners of an amusement park count the number of adults and children who attend the park on a Friday and Saturday. The completed table is shown below. Friday Saturday Total Adults 245 371 616 Children 154 277 431 Total 399 648 1,047 How does the joint frequency for the number of adults who attended the amusement park on Friday compare to the joint frequency for the number of children who attended the amusement park on Saturday? The joint frequency for the number of adults who attended the amusement park on Friday is 399, which is less than the joint frequency for the number of children who attended the amusement park on Saturday, 431. The joint frequency for the number of adults who attended the amusement park on Friday is 154, which is less than the joint frequency for the number of children who attended the amusement park on Saturday, 277. The joint frequency for the number of adults who attended the amusement park on Friday is 371, which is…
A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the city official stands outside a concert hall after a show and surveys every 25th person to exit and asks their opinion about raising funds for the arts. Which of the following describes the population in this scenario? all residents of the city the members of the city council all city residents who support the arts the people surveyed by the city official
A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population(s). more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. 5% of those who take the drug actually get headaches. all individuals who take the medication. What is the variable being examined for individuals in the population(s)? more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. whether or not a person who takes the drug gets a headache. 5% of those who take the drug actually get headaches. Is it categorical or quantitative? Quantitative Categorical Identify the parameter(s). the mean of those who take the drug who get a headache. the proportion of those who take the drug who get a headache. all individuals who…
In a statistics activity, students are asked to spin a penny and a dime and determine the proportion of times that each lands with tails up. The students believe that since a dime is lighter, it will have a lower proportion of times landing tails up compared with the penny. The students are instructed to spin the penny and the dime 30 times and record the number of times each lands tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Let pp = the true proportion of times a dime will land tails up and pp = the true proportion of times a penny will land tails up. The P-value for this significance test is 0.296. Which of the following is the correct conclusion for this test of the hypotheses H Pp-Pp=0 and H, Po-Pp 0.05. There is sufficient evidence that the true proportion of times a dime will land tails up is significantly less than the penny. O The student should reject the null hypothesis since 0.296 > 0.05. There is insufficient…