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 of Households in Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% the Community 106 112 37 91 65 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? 0.05 State the null and alternate hypotheses. Họ: The distributions are the same. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are different. O Ho: The distributions are the same. H1: The distributions are different. (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.) Are all the expected frequencies greater than 5? O Yes No What sampling distribution will you use? O chi-square uniform binomial normal Student's t What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) (d) Based on vour answers in parts (a) to (c) will vou reiect

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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
of Households in
Type of Household
Married with children
Married, no children
Single parent
One person
Other (e.g., roommates, siblings)
Percent of U.S.
Households
26%
29%
9%
25%
11%
the Community
106
112
37
91
65
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?
0.05
State the null and alternate hypotheses.
Họ: The distributions are the same.
H1: The distributions are the same.
Ho: The distributions are different.
H1: The distributions are the same.
Ho: The distributions are different.
H1: The distributions are different.
O Ho: The distributions are the same.
H1: The distributions are different.
(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.)
Are all the expected frequencies greater than 5?
O Yes
No
What sampling distribution will you use?
O chi-square
uniform
binomial
normal
Student's t
What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test
statistic. (Round your answer to three decimal places.)
(d) Based on vour answers in parts (a) to (c) will vou reiect
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 of Households in Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% the Community 106 112 37 91 65 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? 0.05 State the null and alternate hypotheses. Họ: The distributions are the same. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are different. O Ho: The distributions are the same. H1: The distributions are different. (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.) Are all the expected frequencies greater than 5? O Yes No What sampling distribution will you use? O chi-square uniform binomial normal Student's t What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) (d) Based on vour answers in parts (a) to (c) will vou reiect
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