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2 Pages

### Problem Sheet 12

Course: GV 300, Fall 2009
School: East Los Angeles College
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Word Count: 496

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Sheet Problem 12 The following two question are taken from Section 2 of the 2006 GV300 summer examination. 2. An opinion poll of 5,000 voters in a Parliamentary constituency during an election campaign predicts that the current MP will secure 48% of the vote and that the challenger will obtain the remaining 52%. a) Calculate a 95% confidence interval for the percentage of the vote that will be obtained by the...

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Sheet Problem 12 The following two question are taken from Section 2 of the 2006 GV300 summer examination. 2. An opinion poll of 5,000 voters in a Parliamentary constituency during an election campaign predicts that the current MP will secure 48% of the vote and that the challenger will obtain the remaining 52%. a) Calculate a 95% confidence interval for the percentage of the vote that will be obtained by the current MP. b) Calculate a 99% confidence interval for the percentage of the vote that will be obtained by the current MP. (Hint: you do not need SPSS to do this question, a glance at lecture 9 however might be helpful!) 3. Using the World Values Data and SPSS, crosstabulate whether someone believes in God (vI83) against gender (v214). a) Write down the table of observed frequencies and the expected frequencies under independence. b) Use a chi-square test to determine whether there is significant evidence, at the 5% level, of an association between gender and belief in God. c) Hence discuss the nature of any association between the two variables. (Hint: This is just revision of what we were doing in the lab last week). 120 You should also be able to use SPSS to test whether, for example, the mean of a population has increased. Suppose that it is known that the mean number of commuters using a train line on a given week day is 380. The train company want to know whether this number has increased and so records the number of commuters using the line on days week over a 3 week period. It observed the following numbers: 375,390,383,386, 379,381,394,387,384,384,378,377,380,381,376 To answer the train companies question we want to deduce a 95% confidence interval for the mean number of commuters using the train line on a weekday. We proceed as follows: 1. State your Null and Alternative hypotheses. 2. Enter the data into SPSS. Use the data view to enter the numbers and the variable view to enter a name for the variable and set the number of decimal places to be displayed; 3. Use Analyze/Compare Means/One-Sample T Test to see the following box: - Cllncel Help j f _.~."~j }lplion.. l 4. Put the Commuters into the Test Variable box and type the mean into the test Value box. If you click the options box you can change the % of the confidence interval from its 95% default. 5. When you have done this press OK and SPSS will ...

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East Los Angeles College - GV - 300
SolutionsProblem Sheet 13Q1) a) CDF.NORMAL(40,50, 10) = 0.16 b) 1- CDF.NORMAL(40,50,10) = 0.16 c) CDF.NORMAL(45,50,1O) = 0.31 d) 1 - CDF.NORMAL(45,50,10) = 0.31 e) CDF.NORMAL(60,50,10) - CDF.NORMAL(40,50, 10) = 0.68 f) CDF.NORMAL(57,50,1O) - CDF.NO
East Los Angeles College - GV - 300
Problem Sheet 13 Question 1SPss can be used to calculate probabilities from the normal distribution for us. To calculate the probability that a random variable X is less than or equal to a value x (i.e. P(X:Sx )=p).To do this we need to either hav
East Los Angeles College - GV - 300
East Los Angeles College - GV - 300
East Los Angeles College - GV - 300
East Los Angeles College - GV - 300
East Los Angeles College - GV - 300
East Los Angeles College - GV - 300
East Los Angeles College - GV - 300
East Los Angeles College - GV - 300
Problem Sheet 21. A shop sells light bulbs. Mr Watt, the owner, makes a note one week of thewattage of the bulbs that he sells. At the end of the week he has noted the following: 100, 100, 100, 60, 100, 40, 150, 60, 100, 100, 100, 60, 40, 150, 1
East Los Angeles College - GV - 300
Problem Sheet 31. Which of the following statements violate the rules of probability? Explain your answers. a) The probability that an experiment will succeed is 0.44 and the probability that it will fail is 0.53. b) According to the doctor the pro
East Los Angeles College - GV - 300
Problem Sheet 4Ql) Determine the probability,p, for each ofthe following events: a) an odd number appears in a throw of a die b) at least one head appears in two tosses of a fair coin c) an ace of any suite, a ten of diamonds or a two of spades, app
East Los Angeles College - GV - 300
Problem Sheet 5I. Continuing from the end of the lecture, calculate the variance and standard deviation of both the income and the bonus. What do you notice about the answers? (Is this a special case of a general result?) 2. There are 16 students in
East Los Angeles College - GV - 300
Problem Sheet 6I. If the random variable X is Normally distributed around a mean of 16 with a standard deviation of 5 find:a) P(X&gt; 20) b) P(X&gt; 10) c) P(20&lt;X&lt;25) d) P(12&lt;X&lt;24)2. Assume for this question we are working with the standard Norma
East Los Angeles College - GV - 300
Problem Sheet 7I. Daisies are randomly distributed across a lawn with the probability of a randomly chosen square meter of the lawn containing precisely r daises being 2.5' e-2 .5 - - - , r=0,1,2,3, . r! Write down E(R) and Var (R). Determine the
East Los Angeles College - GV - 300
Problem Sheet 9Creating SPSS Worksheets, Descriptive Statistics and GraphsI. Open SPSS with a blank worksheet. We are going to create our own (simple) SPSS worksheet. This will involve 'playing' with SPSS to get a feel for how it works and to help
East Los Angeles College - GV - 300
Question: The12 letters of the work QUANTITATIVE are arranged in a line. i. ii. How many distinct arrangements are there What is the probability that the three T's are consecutive? (Give your answer as a fraction cancelled as far as possible)Questi
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 2Theory is a system of definitions and explanations that allows us to understand the phenomena we observe.Theory is a system of definitions and explanations that allows us to understand the phenomena we ob
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 10 Ideology, Discourse and NormsExamples of the study of ideology, norms and culture:1. Carmines and Stimsons Issue Evolution (1991) Major change in the American political discourse in 1960s and 1970s. Br
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 16 Philosophy of ScienceWhy study philosophy of science?Why study philosophy of science? After all, Isaac Newton did alright without it.Why study philosophy of science? After all, Isaac Newton did alri
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 17 What is Good Science Skepticism and PragmatismStarting point Poppers falsification critieria (and its critics).Starting point Poppers falsification critieria (and its critics). A good theory is not
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 18 Explanation versus Interpretation?Explanation and interpretation are often presented as alternative approaches to social science the distinction between providing causes of actions and reasons for acti
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 18 The Ontology of Social Science the Poverty of Ontology?We live in exactly one world, not two or three or seventeen Searle, p.1Problem: What do we analyze or study in the social science?Problem: Wha
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 20 Taking (Normative) Political Theory SeriouslyWe have considered the ontology of the social sciencesWe have considered the ontology of the social sciences Social sciences deal with social facts, and he
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 21 Rawls, Liberalism and JusticeRawls' A Theory of Justice aims to provide a conception of political justice that is obligatory for people living in a &quot;well-ordered&quot; society (that is a society in which fre
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 22 Introduction to Democratic TheoryWhat is democracy?What is democracy? Reasons for caring:What is democracy? Reasons for caring: 1. Positive how does democracy workWhat is democracy? Reasons for c
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 23 Protecting Minorities, Protecting RightsConceptual difference between minority protection and rights protectionConceptual difference between minority protection and rights protection Often rolled toge
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 24 Electoral Systems: Equality, Impartiality, FairnessWhy study electoral systems?Why study electoral systems? Stupid question they determine who the government is (unless you're planning your own milit
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 25 Deliberative Democracy and Consensual DemocracyDeliberative democracy has become a major current in democratic theory some would argue the main currentDeliberative democracy has become a major curren
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 3 Rational Choice TheoryWe can fit the rational choice model into our typology of theoretical approaches:Structures: Economy Political/social institutionsInterestsInstitutions/ structureOutcomesIde
East Los Angeles College - GV - 958
GV958 Contemporary Political Theory Week 4 Rational Choice and InstitutionsRational choice theory has two main empirical applications:Rational choice theory has two main empirical applications: 1. Explaining the strategic interaction in conflict