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Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 11: Q 57 (page 658)

$How are tests of independence similar to tests for homogeneity?$

Short Answer

Expert verified

Both sorts of tests are concerned with data that has been cross-classified.

Step by step solution

01

Given Information

We have to explain the similarities between test of independence and the test for homogeneity

02

Explanation

Some of the parallels between tests of independence and tests of homogeneity are as follows:

Both sorts of testing deal with data that has been cross-classified.

Both test is carried out in the same way.

In both circumstances, the testing statistics are the same.

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Most popular questions from this chapter

Determine the appropriate test to be used in the next three exercises.

A personal trainer is putting together a weight-lifting program for her clients. For a $90$ -day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.

The standard deviation of heights for students in a school is $0.81$ . A random sample of $50$ students is taken, and the standard deviation of heights of the sample is $0.96$ . A researcher in charge of the study believes the standard deviation of heights for the school is greater than $0.81$ .

What type of test should be used?

Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that $280$ recent brides were interviewed as to where they spent their honeymoons. The information is given in Table $11.46$ . Conduct a test of independence

Location	$20 - 29$	$30 - 39$	$40 - 49$	$50$ and over
Niagara Falls	$15$	$25$	$25$	$20$
Poconos	$15$	$25$	$25$	$10$
Europe	$10$	$25$	$15$	$5$
Virgin Islands	$20$	$25$	$15$	$5$

$d f$ = ________

Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors.

$\begin{array}{l} Major & Men - Expected Major & Men - Actual Major \\ Arts & Humanities & 11.0 % & 600 \\ Biological Sciences & 6.7 % & 330 \\ Business & 22.7 % & 1130 \\ Education & 5.8 % & 305 \\ Engineering & 15.6 % & 800 \\ Physical Sciences & 3.6 % & 175 \\ Professional & 9.3 % & 460 \\ Social Sciences & 7.6 % & 370 \\ Technical & 1.8 % & 90 \\ Other & 8.2 % & 400 \\ Undecided & 6.6 % & 340 \end{array}$

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