Question

The type of household for the U.S. population and for a random sample of 411 households from the Dove Creek community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 93 Married, no children 29% 121 Single parent 9% 36 One person 25% 89 Other (e.g., roommates, siblings) 11% 72 Use a 5% level of significance to test the claim that the Dove Creek distribution fits the distribution of U.S. households. What sampling distribution will you use for this test? Are all the expected frequencies greater than 5? (Round the expected frequencies to two decimal places.) What are the degrees of freedom for this test? What is the critical value for this test separating the fail to reject and reject regions? Find the value of the sample test statistic for this test: (Round the test statistic to three decimal places.) Will you fail to reject or reject the null hypothesis? State your conclusion in context of the problem: At 5% level of significance, (fail to reject or reject) the null hypothesis. There is (insufficient or sufficient) evidence to find that the Dove Creek households distribution does not fit the U.S. households distribution.

          The type of household for the U.S. population and for a random
sample of 411 households from the Dove Creek community in Montana
are shown below.
Type of
Household
Percent of U.S.
Households
Observed Number
of Households in
the Community
Married with children
26%        
93            
Married, no children
29%        
121            
Single parent
9%        
36            
One person
25%        
89            
Other (e.g., roommates, siblings)
11%        
72            
Use a 5% level of significance to test the claim that the Dove
Creek distribution fits the distribution of U.S. households.
What sampling distribution will you use for this test? 
Are all the expected frequencies greater than 5? (Round the
expected frequencies to two decimal places.)
What are the degrees of freedom for this test? 
What is the critical value for this test separating the fail to
reject and reject regions? 
Find the value of the sample test statistic for this
test: (Round the test statistic to three decimal places.)
Will you fail to reject or reject the null hypothesis? 
State your conclusion in context of the problem:
At 5% level of significance, (fail to reject or
reject)  the null hypothesis.  There is
(insufficient or sufficient)  evidence to find that the
Dove Creek households distribution does not fit the U.S. households
distribution.

Added by Blanca F.

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