Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: Q.9 (page 692)

No chi-square A school’s principal wants to know if students spend about the same amount of time on homework each night of the week. She asks a random sample of 50students to keep track of their homework time for a week. The following table displays the average amount of time (in minutes) students reported per night:

Explain carefully why it would not be appropriate to perform a chi-square goodness-of-fit test using these data.

Short Answer

Expert verified

From the given information, You can only apply the chi-square goodness-of-fit test to categorical variables, but the variable is quantitative and thus it is not appropriate to apply the chi-square goodness-of-fit test.

Step by step solution

01

Given Information

It is given in the question that,

02

Explanation

The variable of interest here is the average amount of time that can take quantitative values, and the chi-square goodness of fit test is used on the category variable, with quantitative variables. As a result, chi-square goodness of fit cannot be used in this case.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

The appropriate null hypothesis for performing a chi-square test is that

(a) equal proportions of female and male teenagers are almost certain they will be married in 10 years.

(b) there is no difference between female and male teenagers in this sample in their distributions of opinions about marriage.

(c) there is no difference between female and male teenagers in the population in their distributions of opinions about marriage.

(d) there is no association between gender and opinion about marriage in the sample.

(e) there is no association between gender and opinion about marriage in the population.

The expected count of cases of lymphoma in homes with an HCC is

(a) 79·31215.

(b) 10·21215.

(c) 79·3110.

(d) 136·31215.

(e) None of these.

How do U.S. residents who travel overseas for leisure differ from those who travel for business? The following is the breakdown by occupation:

Explain why we can’t use a chi-square test to learn whether these two distributions differ significantly.

Which hypotheses would be appropriate for performing a chi-square test?

(a) The null hypothesis is that the closer students get to graduation, the less likely they are to be opposed to tuition increases. The alternative is that how close students are to graduation makes no difference in their opinion.

(b) The null hypothesis is that the mean number of students who are strongly opposed is the same for each of the four years. The alternative is that the mean is different for at least two of the four years.

(c) The null hypothesis is that the distribution of student opinion about the proposed tuition increase is the same for each of the four years at this university. The alternative is that the distribution is different for at least two of the four years.

(d) The null hypothesis is that year in school and student opinion about the tuition increase in the sample are independent. The alternative is that these variables are dependent.

(e) The null hypothesis is that there is an association between a year in school and opinion about the tuition increase at this university. The alternative hypothesis is that these variables are not associated.

A Type I error would occur if we conclude that

(a) HCC wiring caused cancer when it actually didn't.

(b) HCC wiring didn't cause cancer when it actually did.

(c) there is no association between the type of wiring and the form of cancer when there actually is an association.

(d) there is an association between the type of wiring and the form of cancer when there actually is no association.

(e) the type of wiring and the form of cancer have a positive correlation when they actually don't.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Applied 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.

Sign-up for free