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 Households the Community Married with children 26% 104 Married, no children 29% 115 Single parent 9% 35 One person 25% 92 Other (e.g., roommates, siblings) 11% 65 A USE SALT 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. O Ho: The distributions are different. H,: The distributions are the same. Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H,: 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 O No What sampling distribution will you use? O uniform O normal O binomial O Student'st chi-square 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.)
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 Households the Community Married with children 26% 104 Married, no children 29% 115 Single parent 9% 35 One person 25% 92 Other (e.g., roommates, siblings) 11% 65 A USE SALT 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. O Ho: The distributions are different. H,: The distributions are the same. Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H,: 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 O No What sampling distribution will you use? O uniform O normal O binomial O Student'st chi-square 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.)
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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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
the Community
Percent of U.S.
Type of Household
Households
Married with children
26%
104
Married, no children
29%
115
Single parent
9%
35
One person
25%
92
Other (e.g., roommates, siblings)
11%
65
n USE SALT
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.
O Ho: The distributions are different. H,: The distributions are the same.
Ho: The distributions are the same. H,: The distributions are the same.
O Ho: The distributions are the same. H,: The distributions are different.
O Ho: The distributions are different. H,: 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
O No
What sampling distribution will you use?
O uniform
O normal
O binomial
Student's t
chi-square
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.)
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