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The type of househeld for the US. pepuaton and for arandom sample of 41 heuseholds froma community in Mentana are shown below. Percent of U.S Households Observed Number Households in the Community Tye of Household Mamed with chren Mamed, ne cdren Single pare One person 2 114 25% Use a S level of significance to test the caim that the dstribution of US. households fits the Dove Creek dstribution. o) what in the level of signticance State the nu and atemate hyvpotheses OM The distributions are dferent H The dtrbutions are the same MThe dutrutons are dferent H: The distributions are dferent OM The distributions are the same M: The datributions are the same OM The distributions are the same H The distributions are dferent ) Find the value of the chisquare statstic for the sample. (Round the expected trequencies to two decimal places. Round the test statistic to three decimal places Are al the expected frequencies greater than S7 O ves ONo What sampling distribution w you use O re Onormal binomia Oun O Sudents hat are the degrees of treede tO Find or estimate the Pvalue of the sample test statistic. (Round your answer to three decimal places) (4) Based on your answers in parts ) to (c), you reject or fal to reject the nu hypothesis that the population fits the specified distribution of categories Since the Palue we fallte reject the nhypothesis Since the Plue wereject the nu hypothess Since the Paluese we reject he nuhypothesis Since the Pvaluese we fal to reject the nul hypothesis (e) Interpret your conclusion in the contest of the application. OAt the S level of significance, the evidence is sufoent te concude that the community household distribution does net the general uS. ousehold dstributon. O Athe Slevel of significance, the evidence is insumcent to conclude that the community household dstribution does net e the general US. household distribution.

The type of househeld for the US. pepuaton and for arandom sample of 41 heuseholds froma community in Mentana are shown below. Percent of U.S Households Observed Number Households in the Community Tye of Household Mamed with chren Mamed, ne cdren Single pare One person 2 114 25% Use a S level of significance to test the caim that the dstribution of US. households fits the Dove Creek dstribution. o) what in the level of signticance State the nu and atemate hyvpotheses OM The distributions are dferent H The dtrbutions are the same MThe dutrutons are dferent H: The distributions are dferent OM The distributions are the same M: The datributions are the same OM The distributions are the same H The distributions are dferent ) Find the value of the chisquare statstic for the sample. (Round the expected trequencies to two decimal places. Round the test statistic to three decimal places Are al the expected frequencies greater than S7 O ves ONo What sampling distribution w you use O re Onormal binomia Oun O Sudents hat are the degrees of treede tO Find or estimate the Pvalue of the sample test statistic. (Round your answer to three decimal places) (4) Based on your answers in parts ) to (c), you reject or fal to reject the nu hypothesis that the population fits the specified distribution of categories Since the Palue we fallte reject the nhypothesis Since the Plue wereject the nu hypothess Since the Paluese we reject he nuhypothesis Since the Pvaluese we fal to reject the nul hypothesis (e) Interpret your conclusion in the contest of the application. OAt the S level of significance, the evidence is sufoent te concude that the community household distribution does net the general uS. ousehold dstributon. O Athe Slevel of significance, the evidence is insumcent to conclude that the community household dstribution does net e the general US. household distribution.

MATLAB: An Introduction with Applications
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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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 Percent of U.S. Households Type of Household the Community Married with children 26% 94 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 114 9% 37 25% 94 11% 72 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. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are the same. 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 chi-square O normal O binomial O uniform O 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 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 s a, we reject the null hypothesis. O Since the P-value s 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.
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 Percent of U.S. Households Type of Household the Community Married with children 26% 94 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 114 9% 37 25% 94 11% 72 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. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are the same. 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 chi-square O normal O binomial O uniform O 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 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 s a, we reject the null hypothesis. O Since the P-value s 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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