a) The Qínl'ing panda is a subspecies of the Chinese giant panda, distinctlyidentifiable by its brownish coloration and patterning, as opposed to the familiarwhite and black of the majority of giant pandas. Qínl'ing pandas are endemic tothe Qín mountains of central China, sometimes known as the Sichua n (orSzechwan) Alps, and experts believe that they compose no more than 13percent of the wild panda population. As a conservationist working at theChéngdu Panda Base, you want to put this estimate to test. Let p be the (true)proportion of Qínling pandas in the whole wild panda population.(i) Formulate appropriate null and alternative hypotheses. Explain briefly therationale behind choosing the alternative that you did.(ii) Based on a random sample of 128 pandas, sampled randomly from all overthe panda-inhabited region, of which only 15 were of the Qínl"ing variety, carryout a test for the hypotheses in (i), reporting the p-value and your decision at 5%level of significance. Don't forget to carefully define the random variable you areusing to carry out this test.(iii) Assuming independence of the observations, what is the distribution of thenumber of Qínl'ıng pandas in the sample under the null hypothesis? What didyou approximate this distribution by for carrying out the test in (ii), and when isthis approximation valid?(iv) For this part, take your p to be 0.13 if you accepted the null hypothesis in (ii),and if you rejected it, take p to be equal to the p^ that you got. Out of 15 randomlyobserved pandas, what is the probability of getting at least two of the Qínlingvariety?(v) Based on the data in part (ii), that is, 15 Qínl'ing pandas in a random sampleof size 128, construct an approximate 95% confidence interval for the proportionp.

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a) The Qinl'ing panda is a subspecies of the Chinese giant panda, distinctly identifiable by its brownish coloration and patterning, as opposed to the familiar white and black of the majority of giant pandas. Qínl'ing pandas are endemic to the Qín mountains of central China, sometimes known as the Sichuan (or Szechwan) Alps, and experts believe that they compose no more than 13 percent of the wild panda population. As a conservationist working at the Chéngdu Panda Base, you want to put this estimate to test. Let p be the (true) proportion of Qínlıng pandas in the whole wild panda population. (i) Formulate appropriate null and alternative hypotheses. Explain briefly the rationale behind choosing the alternative that you did. (ii) Based on a random sample of 128 pandas, sampled randomly from all over the panda-inhabited region, of which only 15 were of the Qínl"ıng variety, carry out a test for the hypotheses in (i), reporting the p-value and your decision at 5% level of significance. Don't forget to carefully define the random variable you are using to carry out this test.

a) The Qinl'ing panda is a subspecies of the Chinese giant panda, distinctly identifiable by its brownish coloration and patterning, as opposed to the familiar white and black of the majority of giant pandas. Qínl'ing pandas are endemic to the Qín mountains of central China, sometimes known as the Sichuan (or Szechwan) Alps, and experts believe that they compose no more than 13 percent of the wild panda population. As a conservationist working at the Chéngdu Panda Base, you want to put this estimate to test. Let p be the (true) proportion of Qínlıng pandas in the whole wild panda population. (i) Formulate appropriate null and alternative hypotheses. Explain briefly the rationale behind choosing the alternative that you did. (ii) Based on a random sample of 128 pandas, sampled randomly from all over the panda-inhabited region, of which only 15 were of the Qínl"ıng variety, carry out a test for the hypotheses in (i), reporting the p-value and your decision at 5% level of significance. Don't forget to carefully define the random variable you are using to carry out this test.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.1: Sets

Problem 37E: Prove or disprove that AB=AC implies B=C.

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