Question
The type of household for the U.S. population and for a random sample of 411 households...
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. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 93 Married, no children 29% 112 Single parent 9% 34 One person 25% 103 Other (e.g., roommates, siblings) 11% 69 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same. H1: The distributions are the same. H0: The distributions are different. H1: The distributions are different. H0: The distributions are the same. H1: The distributions are different. H0: The distributions are different. H1: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.)
Homework Answers
Answer #1
the null and alternate hypotheses
H0: The distributions are the same.
H1: The distributions are different
| Type of Household | Percent of U.S. | Observed Number | Expected (E=np) | (O-E)^2/E |
| Married with children | 0.26 | 93 | 106.86 | 1.797675 |
| Married, no children | 0.29 | 112 | 119.19 | 0.433729 |
| Single parent | 0.09 | 34 | 36.99 | 0.24169 |
| One person | 0.25 | 103 | 102.75 | 0.000608 |
| Other (e.g., roommates, siblings) | 0.11 | 69 | 45.21 | 12.51856 |
| Sum | n=411 |  |
#the value of the chi-square statistic for the sample
|
#test statistics =14.992
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below.
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Percent of U.S.
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the Community
Married with children
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Married, no children
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113
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25%
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The type of household for the U.S. population and for a random sample of 411 households...
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.
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Percent of U.S.
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Married with children
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Single parent
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Use a 5% level of significance to test the claim that the
distribution of U.S. households fits the...
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sample of 411 households from a community in Montana are shown
below.
Type of Household
Percent of U.S.
Households
Observed Number
of Households in
the Community
Married with children
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98
Married, no children
29%
118
Single parent
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25%
91
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Percent of U.S.
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Observed Number
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Type of Household
Percent of U.S.
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Observed Number
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Married with children
26%
101
Married, no children
29%
110
Single parent
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One person
25%
97
Other (e.g., roommates, siblings)
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Percent of U.S.
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Married with children
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Married, no children
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130
Single parent
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Other (e.g., roommates, siblings)
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