/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q12E A border protection avatar. The ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q12E (page 398)

A border protection avatar. The National Center for Border Security and Protection has developed the "Embodied Avatar"鈥攁 kiosk with a computer-animated border guard that uses artificial intelligence to scan passports, check fingerprints, read eye pupils, and asks questions of travellers crossing the U.S. border. (National Defense Magazine, February 2014.) Based on field tests, the avatar's developer claims that the avatar can detect deceitful speech correctly 75% of the time.

a. Identify the parameter of interest.

b. Give the null and alternative hypotheses for testing the claim made by the avatar's developer.

c. Describe a Type I error in the words of the problem.

d. Describe a Type II error in the words of the problem

Short Answer

Expert verified

a.In the study, the parameter of interest is the population proportion of deceitful speech recognized by the avatar.

b. The null hypothesis is H0 = p = 0.75, and the alternative hypothesis is Ha: p 鈮� 0.75.

c.The conclusion is that the population proportion of deceitful speech recognized by the avatar differs from 75%, but it is 75%

d. The conclusion is that the population proportion of deceitful speech recognized by the avatar does not differ from 75%, but it differs from 75%

Step by step solution

01

Given information

According to the avatar's developer, deceptive speech can be accurately detected 75% of the time.

02

Identifying the parameter of interest

a.

In the study, the parameter of interest is the population proportion of deceitful speech recognized by the avatar, denoted as p.

03

Setting up the hypotheses

b.

Null hypothesis:

H0 = p = 0.75

That is, the population proportion of deceitful speech recognized by the avatar is 0.75.

Alternative hypothesis:

Ha: p 鈮� 0.75

That is, the population proportion of deceitful speech recognized by the avatar differs from 0.75.

04

Describing the type I error

c.

Type I error is the error committed to rejecting a null hypothesis when it is true. The conclusion is that the population proportion of deceitful speech recognized by the avatar differs from 75%. Still, in reality, the population proportion of deceitful speech recognized by the avatar does not vary from 75%.

05

Describing the type II error

d.

Type II error is the error committed to accepting a null hypothesis when it is false. The conclusion is that the population proportion of deceitful speech recognized by the avatar does not differ from 75%. Still, in reality, the population proportion of deceitful speech recognized by the avatar differs from 75%.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Managers who engage in 鈥渃oopetition.鈥� In business, firms that both cooperate and compete with other firms are described as engaging in 鈥渃oopetition.鈥� A study published in Industrial Marketing Management (February 2016) examined the level of external tension experienced by managers who engage in coopetition. External tension (measured on a 20-point scale) was recorded for each in a sample of 1,532 managers, all from firms that were engaged in coopetition. The sample mean tension was x=10.82 and the sample standard deviation was s=3.04.

Conduct a test (using a=.05) to determine if the true mean external tension level of all managers who engage in coopetition differs from 10.5 points.

The opinions of employees at Asia-Pacific firms regarding fraud, bribery, and corruption in the workplace were elicited in the 2015 AsiaPacific (APAC) Fraud Survey. Interviews were conducted with a sample 1,508 employees of large APAC companies. One question concerned whether or not the employee鈥檚 company had implemented a 鈥渨histle-blower鈥� hotline鈥攖hat is, a phone number that an employee can call to report fraud or other types of misconduct without fear of retribution. The 2015 survey found that 680 of the 1,508 respondents鈥� companies had not implemented a whistle-blower hotline. In comparison, 436 of the 681 respondents in the 2013 survey reported their companies had not implemented a whistle-blower hotline.

a. TestH0:p=.5 against Ha:p<.5using data from the 2015 survey and 伪=.05Give a practical interpretation of the results.

b. Test H0:p=.5against Ha:p>.5using data from the 2013 survey and伪=.05 Give a practical interpretation of the results.

Question: The hot tamale caper. 鈥淗ot tamales鈥� are chewy, cinnamonflavored candies. A bulk vending machine is known to dispense, on average, 15 hot tamales per bag with a standard deviation of 3 per bag. Chance (Fall 2000) published an article on a classroom project in which students were required to purchase bags of hot tamales from the machine and count the number of candies per bag. One student group claimed they purchased five bags that had the following candy counts: 25, 23, 21, 21, and 20. These data are saved in the file. There was some question as to whether the students had fabricated the data. Use a hypothesis test to gain insight into whether or not the data collected by the students were fabricated. Use a level of significance that gives the benefit of the doubt to the students

Question:Accounting and Machiavellianism. Refer to the Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants, Exercise 6.19 (p. 341). A Mach rating score was determined for each in a random sample of 122 purchasing managers, with the following results:虫虅 = 99.6 s = 12.6. Recall that a director of purchasing at a major firm claims that the true mean Mach rating score of all purchasing managers is 85.

a. Suppose you want to test the director鈥檚 claim. Specify the null and alternative hypotheses for the test.

b. Give the rejection region for the test using 伪 = 0.10.

c. Find the value of the test statistic.

d. Use the result, part c, to make the appropriate conclusion.

Latex allergy in health care workers (cont鈥檇). Refer to Exercise 7.120. Let \({\sigma ^2}\) represent the variance in the number of latex gloves used per week by all hospital employees. Consider testing \({H_0}:{\sigma ^2} = 100\) against\({H_a}:{\sigma ^2} \ne 100.\)

a. Give the rejection region for the test at a significance level of\(\alpha = 0.01.\)

b. Calculate the value of the test statistic.

c. Use the results, parts a and b, to make the appropriate conclusion.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.