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The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number Percent of U.S. Type of Household of Households in the Community Households 26% 29% Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) 97 117 9% 32 25% 93 11% 72 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.

The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number Percent of U.S. Type of Household of Households in the Community Households 26% 29% Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) 97 117 9% 32 25% 93 11% 72 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question

(a) What is the level of significance?

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

What are the degrees of freedom?

The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number Percent of U.S. Type of Household of Households in the Community Households 26% 29% Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) 97 117 9% 32 25% 93 11% 72 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.
Transcribed Image Text:The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number Percent of U.S. Type of Household of Households in the Community Households 26% 29% Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) 97 117 9% 32 25% 93 11% 72 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

Step 2

b)

From the given data,

Expected frequency = n*Pi

Where, n is the sample size

Step 3

Statistics homework question answer, step 3, image 1

Step 4

From the above table,

The degrees of freedom = n-1

                                        =5-1

                                        =4

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