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% 108 Married, no children 29% 115 Single parent 9% 29 One person 25% 94 Other (e.g., roommates, siblings) 11% 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? State the null and alternate hypotheses. Ho: The distributions are different. H,: The distributions are different. Ho: The distributions are different. H,: The distributions are the same. Ho: The distributions are the same. H,: The distributions are different. Ho: The distributions are the same. H,: 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.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? uniform binomial Student's t chi-square normal 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% 108 Married, no children 29% 115 Single parent 9% 29 One person 25% 94 Other (e.g., roommates, siblings) 11% 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? State the null and alternate hypotheses. Ho: The distributions are different. H,: The distributions are different. Ho: The distributions are different. H,: The distributions are the same. Ho: The distributions are the same. H,: The distributions are different. Ho: The distributions are the same. H,: 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.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? uniform binomial Student's t chi-square normal 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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