(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 NumberPercent of U.S.Type of Householdof Households inthe CommunityHouseholds26%29%Married with childrenMarried, no childrenSingle parentOne personOther (e.g., roommates, siblings)971179%3225%9311%72Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(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.

Expert Solution

Step 1

Step 2

From the given data,

Expected frequency = n*P_i

Where, n is the sample size

Step 3

Step 4

From the above table,

The degrees of freedom = n-1

=5-1

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