For Problems 9-19. please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P- value of the sample test statistic.
(d) Based on your answers in parts (a) to (c). will you reject or fail to reject the null hypothesis of independence?
(c) Interpret your conclusion in the context of the application.
Use the
Ecology: Buffalo The following table shows age distribution and location of a random sample of 166 buffalo in Yellowstone National Park (based on information from The Bison of Yellowstone National Bark, National Park Service Scientific Monograph Series).
Age | LamarDistrict | Nez Perce District | Firehole District |
Row Total |
Calf | 13 | 13 | 15 | 41 |
Yearling | 10 | 11 | 12 | 33 |
Adult | 34 | 28 | 30 | 92 |
Column Total | 57 | 52 | 57 | 166 |
Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.
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Chapter 11 Solutions
UNDERSTANDING BASIC STAT LL BUND >A< F
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- 1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward1990) 02-02 50% mesob berceus +7 What's the probability of getting more than 1 head on 10 flips of a fair coin?arrow_forward
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