The following table shows age distribution and location of a random sample of 166 buffalo in a national park.Lamar DistrictNez Perce DistrictFirehole DistrictRow TotalAgeCalf151313411333YearlingAdult119231573724Column Total6346166A USE SALTUse a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.(a) What is the level of significance?State the null and alternate hypotheses.O Ho: Age distribution and location are not independent.H,: Age distribution and location are not independent.O Ho: Age distribution and location are independent.H,: Age distribution and location are independent.O Ho: Age distribution and location are independent.H,: Age distribution and location are not independent.O Ho: Age distribution and location are not independent.H,: Age distribution and location are independent.(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)Are all the expected frequencies greater than 5?O YesO NoWhat sampling distribution will you use?O uniformO normalO Student'stchi-squareO binomialWhat are the degrees of freedom?(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) H,: Age distribution and location are independent.(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)Are all the expected frequencies greater than 5?O YesO NoWhat sampling distribution will you use?O uniformO normalO Student's tchi-squareO binomialWhat are the degrees of freedom?(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)O p-value > 0.100O 0.050 < p-value < 0,100O 0.025 < p-value < 0.050O 0.010 < p-value < 0.0250.005 < p-value < 0.010O p-value < 0.005(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?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 < a, we reject the null hypothesis.O Since the P-value < 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, there is sufficient evidence to conclude that age distribution and location are not independent.O At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are not independent.

Solution: The observed frequencies table is Age Lemar District Nez perce District Firehole…

Answered: Nez Perce District Firehole District…

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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