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 HouseholdMarried with childrenMarried, no childrenSingle parentOne personOther (e.g., roommates, siblings)USE SALTPercent of U.S.Households26%Are all the expected frequencies greater than 5?O YesO NoWhat sampling distribution will you use?O chi-squareO Student's tO uniformO binomialnormal29%What are the degrees of freedom?9%25%11%Observed Numberof Households inthe Community9613129Use 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?90State the null and alternate hypotheses.O Ho: The distributions are the same. H₁: The distributions are different.65O Ho: The distributions are the same. H₁: The distributions are the same.O Ho: The distributions are different. H₁: The distributions are the same.O HO! The distributions are different. 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.) (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?O Since the P-value > a, we fail to reject the null hypothesis.O Since the P-value > a, we reject the null hypothesis.O Since the P-value sa, we reject the null hypothesis.O Since the P-values a, we fail to reject the null hypothesis.(e) Interpret your conclusion in the context of the application.O At the 5% level of significance, the evidence is sufficient to conclude that the community household distribution does not fit the general U.S. household distribution.O At the 5% level of significance, the evidence is insufficient to conclude that the community household distribution does not fit the general U.S. household distribution.

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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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