Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 students from this year’s class, only 12 failed the test. What is the conclusion of this test, if our significance level a = 0.05?(a) We reject the null and conclude that we do not have enough evidence toconclude that the sample proportion is different from the proportion who failedin previous years(b) We fail to reject the null and conclude that we do not have enough evidence toconclude that the sample proportion is different from the proportion who failedin previous years(c) We reject the null and conclude that the sample proportion is different from theproportion who failed in previous years(d) We fail to reject the null and conclude that the sample proportion is differentfrom the proportion who failed in previous years(e) None of the above

Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 students from this year’s class, only 12 failed the test.

Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 students from this year’s class, only 12 failed the test.

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: In a recent Gallup poll, pollsters randomly selected adults and asked them whether they smoke.…

A: Introduction There are 2 types sampling methods: Prob. methods Non-Prob. methods

Q: Nationally, 83% of Americans have earned a high school diploma. We want to see if the proportion of…

A: Given, Nationally, 83% of Americans have earned a high school diploma. We want to see if the…

Q: In an attempt to document the percentage of teenagers in the United States who play video games for…

A: The process of drawing conclusions about the population parameters by using the sample statistics,…

Q: hows the total number nd of the study.

A: The given data is Number of convictions Frequency 0 265 1 49 2 21 3 19 4 10 5 10 6…

Q: How do customers first hear about a new product? A random sample of 200 users of a new product was…

A: Introduction An hypothesis is an assumption that is being tested.

Q: Procrastination is an issue many college students face and which teachers wish students would…

A: To test whether there is a difference between the procrastination scores before and after the…

Q: A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage…

A: Here the sample size is number of adults.

Q: Students attending an experimental school are classified by grade (grades 6 through 12), yes/no as…

A: The students are classified by grade from grade 6 through to 12.

Q: Twenty-two subjects are tested, given a training session, and then retested. What test do you…

A: Dependent samples: If the sample values from one population are associated or matched with the…

Q: Out of a group of 50 runner and cyclist, 17 cyclists stated they did not have knee problems and 9…

A: The hypotheses are given below: The claim is that runners experience more knee problems Null…

Q: You want to see if violent videos games have any effect on aggression for middle school boys. So,…

A: To find: What kind of hypothesis test do you think would be appropriate for this study?

Q: A vaccine to prevent a severe virus was given to children within the first year of life as part of a…

A: a.It is given that x1=57, x2= 49, n1=3,294, n2= 1,648. .

Q: College Degree Recipients A survey of 800 recent degree recipients found that 151 received associate…

A: For the given data Perform Chi square goodness of fit

Q: Forty new employees hired at the same time are randomly divided into two groups. One group receives…

A: Experimental Study: If some treatments are applied on the individuals in order to observe the…

Q: College Degree Recipients A survey of 800 recent degree recipients found that 150 received…

A: The given data is, Category Oi Associate degree 150 bachelor 458 first professional 20…

Q: A fall survey of 2 and 4 year college students showed that of 167,000 students who responded, 65,130…

Q: A study was conducted to examine whether the proportion of females was the same for five groups…

A: Given: five groups (Groups A, B, C, D, and E). There are Five groups n=5

Q: ents, the proportion p who say they're interested in their congressional district's election results…

A: Answer X =196 n =270 alpha =0.01 This is one -tailed test [or] Right -tailed test.

Q: A researcher is interested in the relationship between caffeine consumption and headaches in…

A: We want to find the relation between caffeine consumption and headaches for American women aged 25…

Q: researcher found that 85% of white ash trees in Pennsylvania are damaged by the emerald green ash…

Q: The college placement office is developing a model to relate grade point average (GPA) to starting…

A: The question is about correlation.Given :To find :Test whether there a linear relationship between…

Q: A criminal psychologist is interested in whether individuals in high power corporate positions are…

A: The question is about ANOVA Given : Total no. of groups ( k ) = 3 No. of individuals under group 1 =…

Q: In a survey of 1,000 women aged 22 to 35 who work full time, 555 indicated that they would be…

A: A survey of 1,000 women aged 22 to 35 who work full time were considered in which 555 indicated that…

Q: An auto shop wants to examine the proportion of customers that have to return after an appointment.…

Q: Close Confidants and Social Networking SitesA previous exercise introduced a study in which 2006…

Q: A businesswoman is considering whether to open a coffee shop in a local shopping center. Before…

A: Hence, the population mean is $21.84

Q: A businesswoman is considering whether to open a coffee shop in a local shopping center. Before…

A: Note: Thank you for the question. Since only 25 data values are given, we have obtained mean and…

Q: A company that sponsors LSAT prep courses would like to be able to claim that their courses improve…

A: A Test statistic: Initial Test Post Test d=Initial Test-Post Test 64 66 -2 68 63 5 62 71 -9…

Q: A criminal psychologist is interested in whether individuals in high power corporate positions are…

A: a) The null and alternate hypothesis is H0 : μ1=μ2=μ3 HA : Not all the population means are equal b)…

Q: A study took one hundred 55-year-old males and divided them into two groups. The first group was…

A: First we will learn what is meant by an observation study, a census, a survey and an experiment. An…

Q: 61.9% O 26.9% O 45.2%

A: Given, sample size(n) = number of women in the study = 650 175 out of 650 women said that they…

Q: (i) Use a calculator with sample mean and standard deviation keys to find. and s. (Round your…

A: Since you have posted a question with multiple subparts, we will solve the first three complete…

Q: a newspaper article claims that the average age for people who recieve food stamps is 35 years. You…

A: Given that, A newspaper article claims that the average age for people who receive food stamps is 35…

Q: What is the variable of interest? Whether or not a patient is satisfied with the level of care.…

A: The objective of the question is to identify the variable of interest in a given scenario. The…

Q: Researchers examined repartnering among individuals aged 50 and over. One thing they looked at was…

A: Given, Of the 67 people who entered a new marriage, 47 had previously dissolved a remarriage. Of the…

Q: From the U.S. Census Bureau's American Community Survey in 2019 it was found that 33.13% of United…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: People with headaches are randomly divided into two groups. One group gets pain medication, and the…

A: Determine whether the study given scenario represents observational study or an experimental study.…

Q: An ecology class used binoculars to watch 23 turtles at Walden Pond. It was found that 18 were box…

A: observational study : This is a type of study in which individuals are observed or measured.No…

Q: In a survey of 1220 adults in a country, 58% said the country's leader should release all…

A: Observational Study - An observational study or a survey is the one that simply record the…

Q: College Degree Recipients A survey of 800 recent degree recipients found that 158 received associate…

A: We have to perform Chi-square goodness of fit test. Hypothesis : H1 : At least one of the…

Q: A researcher wants to see if police officers’ enthusiasm for their jobs changes after having endured…

A: The objective of the question is to identify the appropriate statistical test to compare the job…

Q: Three applications for admission to a local university are checked, and it is determined whether…

A: We have given, 3 applications for addmission. Each applicant is male or female. And we have to find,…

Q: Rhianna hears that watching ASMR videos on YouTube can help with insomnia. She conducts a sleep…

A: Here, 60 sample takes. 30 watching ASMR videos at least 20 minutes before sleep. And 30 sleep…

Question

What is the conclusion of this test, if our significance level a = 0.05?
(a) We reject the null and conclude that we do not have enough evidence to
conclude that the sample proportion is different from the proportion who failed
in previous years
(b) We fail to reject the null and conclude that we do not have enough evidence to
conclude that the sample proportion is different from the proportion who failed
in previous years
(c) We reject the null and conclude that the sample proportion is different from the
proportion who failed in previous years
(d) We fail to reject the null and conclude that the sample proportion is different
from the proportion who failed in previous years
(e) None of the above

Expert Solution

Step 1: Mention the given information

Let X be the number of students failed the test and n be the sample size..

Given that X=12 and n= 100.

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
6
John hands out survey forms to his classmates to be returned to him next week. It is an example of Response bias Measurement bias Sampling bias Non response bias
Need help.
Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
A local government official observes an increase in the number of individuals with cardiovascular and obesity problems in his barangay. In order to improve the health conditions of his constituents, he aims to promote an easy and cheap way to reduce weight. It is known that obesity results in risk of having illnesses like diabetes and heart problems. He encouraged his constituents to participate in his "Dance for Life" project every weekend for three months. To know if the program is effective in reducing weight, he randomly selected 12 participants from the group who completed the program. The weight loss data, in kilograms, of the 12 randomly selected participants after completing the program, are 0.5, 0.7, 0.9, 1.1, 1.2, 1.3, 1.4, 2.0, 2.3, 2.4, 2.7, 3.0. It is known that the weight loss of those who have completed the dance program follows a normal distribution with variance of 3.24 ??2. a. Construct and interpret a 90% confidence interval for the true mean weight loss of the…
Approximately 8% of males experience red-green color blindness. Suppose a random sample of 200 men is chosen.
A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time (in seconds) Required to Accelerate from 0 to 60 mph Compact 9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size 6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury 5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)
several years ago, the Gallup Organization conducted a random survey of 1018 adults aged 18 or older living in the United States and asked if you had $1000 to spend. Do you think investing it in the stock market would be a good idea? The Gallup study concluded that 54% of those surveyed said they thought investing in the stock. Market was a good idea. A statician would like to take a random sample of 200 of those 1018 adults and ask them the same question again to see if people change their minds over time. Based on the Gallup survey a statician specs that 54% of their sample will say that investing $1000 in the stock market would be a good idea give or take 2.1% find the chance as a percentage that institutions random sample 51% or more of them would say that investing $1000 in the stock market is a good idea write your answer as a percentage.
A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: H0: there is no relationship between gender and belief about human originsHa: there is a relationship between gender and belief about human origins H0: there is a relationship between gender and belief about human originsHa: there is no relationship between gender and belief about human origins Results of the study are summarized in this table for the Belief about human origins: religious texts evolutionary theory total male 30 36 66 female 110 89 199 total 140 125 265 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 = with a p-value = The conclusion of the test at the 5% significance level is There is not enough statistical evidence to suggest that gender…