# Working with the Chi-Square Procedure.

Not what you're looking for?

Suppose that you want to decide whether the distribution of primary heating fuel of occupied housing units built after 1974 differs from that of all occupied housing units. To help you decide, you take a random sample of n housing units built after 1974 and obtain a frequency distribution of their primary heating fuel.

The primary heating fuel for all occupied housing units is distributed as follows.

Primary heating fuel Percentage

Natural gas 51.3

Fuel oil, kerosene 10.9

Electricity 29.4

Liquid propane gas 5.4

Wood 2.2

Other 0.8

a. Identify the population and variable under

consideration.

b. For each of the following sample sizes (values of n),

decide whether conducting a chi-square goodness-of-fit

test is reasonable and explain your answer.: 100, 150;

200; 250

##### Purchase this Solution

##### Solution Summary

Suppose that you want to decide whether the distribution of primary heating fuel of occupied housing units built after 1974 differs from that of all occupied housing units. To help you decide, you take a random sample of n housing units built after 1974 and obtain a frequency distribution of their primary heating fuel.

The primary heating fuel for all occupied housing units is distributed as follows.

Primary heating fuel Percentage

Natural gas 51.3

Fuel oil, kerosene 10.9

Electricity 29.4

Liquid propane gas 5.4

Wood 2.2

Other 0.8

a. Identify the population and variable under

consideration.

b. For each of the following sample sizes (values of n),

decide whether conducting a chi-square goodness-of-fit

test is reasonable and explain your answer.: 100, 150;

200; 250

##### Solution Preview

a. The population is the distribution of primary heating fuel of occupied housing units built (after 1974) and the variable is the different primary heating fuels, like Natural gas, Fuel oil, kerosene etc.

<br>b. The formula of chi-square goodness-of-fit test is:

<br> X2=SUM(Observed-Expected)^2/Expected

<br>However, two assumptions are to ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.